Question 1 :
Two stones are dropped from the top of a tower at half a second apart. The time after dropping the first stone at which the distance between the two stones is 20 m is $(g = 10 ms^{-2})$
Question 2 :
A stone is dropped from a tower. It was found that it covered a distance of $45m$ during its last second of the fall. Calculate the time of the fall and the height of the tower? $\left( g=10m{ s }^{ -2 } \right) $
Question 3 :
A rock falls off top of a building and drops to the ground in 3 m 20 sec. what is the height of the building?
Question 4 :
The same retarding force is applied to stop a train. If the speed is doubled, then the distance will be
Question 6 :
A ball is thrown vertically upward with speed $10$ m/s and it returns to the ground with speed $8$ m/s. A constant air resistance acts. The maximum height attained by the ball is?
Question 7 : <p>A helicopter is flying south with a speed of $50\ kmh^{-1}$. A train is moving with the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be $50 \sqrt {2}\ kmh^{-1}$ towards</p>
Question 8 :
Three bodies $A, B$ and $C$ are moving in a straight line in the same direction such that relative velocity of $A$ w.r.t $B$ is $2m/s$, relative velocity of $B$ w.r.t $C$ is $5m/s$.<br/>Find the relative velocity of $C$ w.r.t $A$. 
Question 9 : <p>A sign convention is used, the positive direction for position, velocity and acceleration is upward. A ball of mass m is thrown upward with velocity $V$ and caught during returning. Identify the signs of position, velocity and acceleration during ascending part of the trajectory.<br/></p><table class="wysiwyg-table"><tbody><tr><td></td><td>Position</td><td>Velocity</td><td>Acceleration</td></tr><tr><td>(A)</td><td>Positive</td><td>Positive</td><td>Positive</td></tr><tr><td>(B)</td><td>Positive</td><td>Positive</td><td>Negative</td></tr><tr><td>(C)</td><td>Positive</td><td>Negative</td><td>Negative</td></tr><tr><td>(D)</td><td>Negative</td><td>Positive</td><td>Negative</td></tr><tr><td>(E)</td><td>Negative</td><td>Negative</td><td>Negative</td></tr></tbody></table>
Question 10 :
A ball is dropped from a certain height, and at that exact same moment a rock is fired horizontally from the exact same height above ground level.<br>Assuming that air resistance is negligible, which object will strike the ground first?
Question 11 :
Consider a car traveling west at 60 MPH. The passenger throws a ball in the same direction the car is traveling. If the passenger clocks the speed of the ball at 40 MPH, what is the speed of the ball relative to the road?<br>
Question 12 :
A block is released from rest at the top of a frictionless inclined plane 16 m long. It reaches the bottom 4 sec later. A second block is projected up the plane from the bottom at the instant the block is released in such a way that it returns to the bottom simultaneously with first block. The acceleration of each block on the incline is
Question 13 :
An elevator is moving up with $2.5 m{ s }^{ -1 }$. A bolt in the elevator ceiling $3\ m$ above the elevator falls. How long (in seconds) does it take for the bolt to fall on the floor of the elevator?<br>
Question 14 :
When two bodies move uniformly towards each other, the distance decreases by $6ms^{-1}$.If both bodies move in the same direction with the same speed as above the distance between them increases by $4ms^{-1}$. Then the speed of the two bodies are
Question 15 :
A ball thrown in the air reaches a height of 10 m and drops down to the ground. Find the time taken by the ball to complete this entire journey.
Question 16 :
A body thrown up with a finite speed is caught back after 4 sec. The speed of the body with which it is thrown up is
Question 17 :
A ball is released from the top of a height $h$. It takes time $T$ to reach the ground. What is the position of the ball (from ground) after time $\frac{T}{3}$
Question 18 :
A ball of mass m is dropped from a high building and strikes the ground $ 4 $ seconds later. Calculate the height of the building.
Question 20 :
A ball is thrown vertically up. If the ball reached at maximum height in $3s$. Assume air resistance is negligible. The magnitude of the acceleration of the ball at the instant it reaches its maximum height is most nearly:
Question 21 :
Consider a jet traveling at 1000 km/hr. If the jet shoots a laser in the same direction it is traveling, how fast will the laser be traveling relative to the ground?<br>
Question 22 :
When a man stands on a moving escalator he goes up in $50\ sec.$ and when he walks up the moving escalator he goes up in $30\ sec.$ Then the man walks up the stationary escalator in a time of $----sec$
Question 23 :
A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in ${ T }/{ 3 }$ seconds?
Question 24 :
A body is thrown vertically upwards and rises to a height of 10 m. The velocity with which the body was thrown upwards is $\displaystyle \left( g=9.8{ m }/{ { s }^{ 2 } } \right) $
Question 25 :
Two particles A and B having different masses are projected from a tower with same speed. A is projected vertically upward and B vertically downward. On reaching the ground.<br>
Question 26 :
A body falls freely for $10 sec$. Its average velocity during this journey (take $g=10m{s}^{-2}$):
Question 27 :
If an iron ball and a wooden ball of the same radius are released from a height h in vaccum then time taken by both of them to reach ground will be:-
Question 28 :
Consider a car moving on a straight roads with a speed of $ 100 m/s$. The distance at which car can be stopped is $\left[ { \mu }_{ x }=0.5 \right] $
Question 29 :
A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that boy throw the same stone up will be
Question 30 :
At an airport, a bored child starts to walk backwards on a moving platform. The child accelerates relative to the platform with $a=-0.5{m}/{{s}^{2}}$ relative to the platform.<br>The platform moves with a constant speed $v=+1.0{m}/{s}$ relative to the stationary floor.<br>In $4.0$ seconds, how much will the child have been displaced relative to the floor?
Question 31 :
A passenger in a moving train tosses a coin. If the coin falls behind him, the train must be moving with
Question 32 :
A body falls from a height $h=200\ m$.The ratio of distance travelled in each $2 sec$ during $t=0$ to $t=6\ sec$ of the journey is
Question 33 :
A ball is thrown vertically up. If the ball reached at maximum height in $3s$. Assume air resistance is negligible. The initial velocity of the ball is most nearly :
Question 34 :
A ball is dropped off a high building and strikes the ground with an impact velocity of 30 m/s. Calculate the height of building :<br/>
Question 35 :
Two bodies of masses $20 kg$ and $15 kg$ are dropped from the top of a building. At any instant during the fall, which of the following properties that both the bodies posses is equal in magnitude?
Question 36 :
A balloon is rising vertically up with a velocity of $29$ $ms^{-1}$. A stone is dropped from it and it reaches the ground in $10$s. The height of the balloon when the stone was dropped from it is: $(g=9.8 ms^{-1})$.
Question 37 :
A ball is thrown directly upwards and reaches a maximum height $h$. When it is at height ${h}/{2}$, its speed relative to the initial speed ${v}_{0}$ it had when it was originally thrown is:
Question 38 :
The acceleration of a body projected upwards with a certain velocity is equal to :
Question 39 :
If a ball is thrown vertically upwards with 40 m/s its velocity after two second will be:-
Question 40 :
A stone dropped from the roof of a building takes 4 s to reach the ground. The height of the building is.
Question 42 :
A motorcycle is moving with a velocity 80km/hr ahead of a car moving with a velocity of 65 km/hr in the same direction. What is the relative velocity of the motorcycle with respect to the car :-
Question 43 :
If a body is thrown up with an initial velocity u and covers a maximum height of h, then h is equal to
Question 44 :
A stone falls from a balloon that is descending at a uniform rate of $12ms^{-1}$. The displacement of the stone from the point of release after 10sec is :-
Question 45 :
A block of mass $2\ kg$ starts moving with initial speed of $10\ m/s$ and accelerates at $-2 m/s^2$. How far does the object travel before coming to rest? <br/>
Question 46 :
The acceleration of a body projected upwards with a certain velocity is
Question 47 :
A stone is thrown upwards with a velocity $50 mg^{-1}$. Another stone is simultaneously thrown downwards from the same location with a velocity $50 ms^{-1}$. When the first stone is at the highest point, the relative velocity of the second stone w.r.t. the first stone is:
Question 48 :
If two particles of masses $3kg$ and $6kg$ which are at rest are separated by a distance of $15m$. The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is <br/>
Question 49 :
An iron ball and a wooden ball of the same radius are released from a height H in vacuum. The times taken by both of them of reach the ground are
Question 50 :
A rubber ball dropped from a certain height is an example of
Question 51 :
The distance travelled by a body during last second of its upward journey is $d$, when the body is projected with certain velocity vertically up. If the velocity of projection is doubled, the distance travelled by the body during the last second of its upward journey is
Question 52 :
A body is released from the top of the tower of height $H$. It takes $t$ time to reach the ground. The position of body $\displaystyle \dfrac{t}{2}$ time after release will be<br/>
Question 53 :
Assertion: A glass ball is dropped on concrete floor can easily get broken compared if it is dropped wooden floor.
Reason: On concrete floor glass ball will take less time to come to rest.
Question 54 :
A stone is dropped from the $25^{th}$ storey of a multistoried building and it reaches the ground in 5 s. In the first second, it passes through how many storeys of the building? $(g=10ms^{-2}).$
Question 55 : <p>A particle moves in a straight line in such a way that its velocity at any point is given by $v^2 = 2 -3x$, where $x$ is measured from a fixed point. The acceleration is :</p>
Question 56 :
A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered in the $n^{th}$ sec to the distance covered in $n\ sec$ is: <br/>
Question 57 :
A car of mas sm starts moving so that its velocity varies according to the law $v = \beta\, \sqrt{s}$ where $\beta$ is a constant, ands is the distance covered. The total work performed by all the forces which are acting on the car during the first t seconds after the beginning of motion is
Question 58 :
Ben Rushin is waiting at a stoplight. When it finally turns green, Ben accelerated from rest at a rate of a $6.00 m/s^2$ for a time of $4.10$ seconds. Determine the displacement of Ben's car during this time period.
Question 59 :
With what minimum acceleration can a fireman slide down a rope whose breaking strength is 3/4 th of his weight ?
Question 60 :
A car travels a distance 50 km with a velocity $25\ kmh^{-1}$ and then 60 km with a velocity $20\ kmh^{-1}$  in the same direction. Calculate the average velocity of the car. 
Question 61 :
Then the distance from the thrower to the point where the ball returns to the same level is
Question 62 :
A block of mass 2 kg falls from the wall at height of 2.3 m. Calculate the velocity just before it hits the ground. ($g=-9.8 \frac{m}{s^2}$)<br/>
Question 63 :
A car and bike start racing in a straight line. The distance of finish line from starting line is 100m. The minimum acceleration of car to win, if it accelerates uniformly starting from rest and the bike moves with a constant velocity of 10 m/s, is
Question 64 :
A particle is thrown vertically upwards. Its velocity at half of the height is $10$ $m/s$. The maximum height attained by the particle is $(g=10 \ m/s^{2})$:
Question 65 :
If it takes a player $3$ seconds to run from the batter's box to the first base at an average speed of $6.5 m/s$, what is the distance she covers in that time? (in m)
Question 66 :
An elevator in which a man is standing is moving upwards with a constant speed of 10 m/sec. If the man drops a coin a from a height $2.45 m$, it reaches the floor of the elevator after a time (g= $9.8\ m/{ s }^{ 2 }$)
Question 67 :
A parachutist after bailing out falls $50\;\text{m}$ without friction. When parachute opens, it decelerates at $2\;\text{m/s}^2$. He reaches the ground with a speed of $3\;\text{m/s}$. At what height, did he bail out ?
Question 68 :
A particle covers $150\ m$ in $8th$second starting from rest, its acceleration is:
Question 69 :
A body dropped freely has covered half of the total distance in the last second. The total journey time is
Question 70 :
A car starting from rest acquires a velocity of $180 m{s}^{-1}$ in $0.05 hr$. Find the acceleration.
Question 71 :
A body falling from the rest has a velocity v after it fall through a height h. The distance it has to fall down further for its velocity to become double, will be
Question 72 :
A flag is mounted on a car moving due North with velocity of 20 km/hr. Strong winds are blowing due East with velocity of 20 km/hr. The flag will point in direction
Question 73 :
Two cars of unequal masses use similar tires. If they are moving at the same initial speed, the minimum stopping distance is:
Question 74 :
A nail of mass $'m_1'$ kg is being hammered by a hammer of mass $'m_2'$ kg with a velocity of 'v' m s$^{-1}$ such that the nail drives by 's' m into a wall. Find the average resistance offered by the wall to the penetration of nail.<br>
Question 75 :
A boy sitting on the top most berth in the compartment of a train which is just going to stop on the railway station, drops an apple aiming at the open hand of his brother situated vertically below his hands at a distance of about 2 m. The apple will fall
Question 76 :
In the free fall, ......... energy of the man is converted into ......... energy. 
Question 77 :
A ball is vertically downwards with a speed of 6 m/s from a hight of 3.2 m. It strikes a horizontal floor and rebounds back to the same height. The value of corfficient of restitutions (e) is :-
Question 78 :
A body starts with an initial velocity of $15 \,m / s.$ If the acceleration of the body is $4 \,m / s^2,$ its velocity after $8$ seconds will be-
Question 79 :
A ball dropped from a height of $10$ m, rebounds to a height of $2.5$ m. If the ball is in contact with the floor for $0.01$ second, its acceleration during contact is ($g = 9.8$ $ms^{-2}$)
Question 80 :
A reaction time for an automobile driver is $0.7 sec.$ If the automobile can be declared at $5\,\,m/{s^2}$ calculate the total distance travelled in coming to stop from an initial velocity of $8.33\,m/s$ after a signal is observed.
Question 81 :
A force of $5$ $N$ acts on a body of weight $9.8 N.$ What is the acceleration produce in ${m^2}/{\sec ^2}$
Question 82 :
The acceleration $a$ (in ${ ms }^{ -2 }$) of a body, starting from rest varies with time $t$ (in $s$) following the equation $a=3t+4$. The velocity of the body at time $t=2s$ will be
Question 83 :
A particle starts from rest  with acceleration $ 2ms^2 $, The distance moved by particle in 5 sec is:
Question 84 :
A body starts from rest with an acceleration ${a}_{1}$. After two seconds another body $B$ starts from rest with an acceleration ${a}_{2}$. If they travel equal distances in fifth second after the starts of $A$, the ratio ${a}_{1} : {a}_{2}$ will be equal to:
Question 85 :
A particle is dropped from top of tower During its motion its covers $\dfrac{9}{25}$ part of height of tower in last $1sec$ . then height of tower?
Question 86 :
The velocity of an object increases at a constant rate from $20 m s^{-1}$ to $50 m s^{-1}$in 10 s. Find the acceleration.<br/>
Question 87 :
At time t = 0, a car moving along a straight line has a velocity of $16 \ ms^{-1}$. It slows down with an acceleration of -0.5 t $ms^{-1}$, where t is in second. Mark the correct statement(s).
Question 88 :
Two cars are moving in the same direction with the same speed of $30km/hr$. They are separated by $5km$. What is the speed of car moving in the opposite direction if it meets the two cars at an interval of $4$ minute:
Question 89 :
A car travelling at a speed of $30 km/hour$ is brought to a halt in 8 m by applying brakes. If the same car is travelling at $60 km/hour$, it can be brought to a halt with the same braking force in
Question 90 :
A particle moves according to the law $a=-ky$. Find the velocity as a function of distance $y$, ${ v }_{ 0 }$ is initial velocity.<br/>
Question 91 :
Moving with uniform acceleration a body covers $150 m$ in $10 s$, so that it covers $24 m$ during the tenth second. Then the acceleration of the body is
Question 92 :
Rewrite the sentence using proper alternative.<br>The total energy of an falling freely toward the ground ____
Question 93 :
A balloon is rising vertically upwards at a velocity of $10 m/s$ . When it is at a height of $45m$ from the ground,a parachutist bails  out from it. After $3 seconds$ he openshis parachute and decelerates at a constant rate of $5 m/s^{-2}$. What was the height of the parachutist above the ground when he opened his parachute?(take $g=10m/s^{-2})$
Question 94 : <p>A ball is thrown vertically upwards from the top of a tower with a velocity of 10 m/sec. If the ball falls on the ground after 5 seconds, the height of the tower will be $\left( {{\text{use}}\;g = 10m/{s^2}} \right)$</p>
Question 96 :
The $x$ and $y$ co-ordinates of a particle at any time $t$ are given by $ x=7t+4t^{2}$ and $y=5t$ where $x$ and $y$ are in m and $t$ in s. The acceleration of the particle at $5\ s$ is:-
Question 97 :
The position of a particle moving along x-axis is given by x = 10t -$2t^{2}$. Then the time (t) at which it will momently come to rest is
Question 98 :
A body falling from a high Minaret travels $40m$ in the last $2$ seconds of its fall to ground. Height of Minaret in metres is<br>(take $g=10m/{ s }^{ 2 }$)
Question 99 :
A ball of mass $m$ and another ball of mass $2 m$ are dropped from equal height. If times taken by the balls to reach the ground are $t_{1}\;and\;t_{2}$ respectively then
Question 100 :
A balloon is moving upwards with velocity 10 ms$^{ - 1}$. It releases a stone which comes down to the ground in 11s. The height of the balloon from the ground at the moment when the stone was dropped is:
Question 101 :
A ball is thrown vertically upwards with a velocity of $10 ms^-1$. IT returns to the ground with a velocity of$ 9 ms^-1$. If $g = 9.8 ms^-2$, then the maximum height attained by the ball is nearly ( assume a resistance to be uniform)
Question 102 :
A machine gun is mounted on a $2000 kg $ vehicle on a horizontal smooth road (friction negligible). The gun fires $10 $ bullets per sec with a velocity of $500 m/s $ . If the mass of each bullet be $10 g $ , what is the acceleration produced in the vehicle?
Question 103 :
A swimmer is capable of swimming $1.65$ $ms^{-1}$ in still water. If she swims directly across a $180$m wide river whose current is $0.85$ m/s, how far downstream(from a point opposite her standing point) will she reach?
Question 104 :
A stone thrown upwards with speed $u$ attains maximum height $h$. Another stone thrown upwards from the same point with sapped $2u$ attains maximum height $H$. What is the relation between $h$ and $H$?
Question 105 :
A swimmer's speed in the direction of flow of river is $ 16 kmh^{-1} $ . Against the direction of flow of river, the swimmer's speed is $8 kmh^{-1} $ Calculate the swimmer's speed in still water and the velocity of flow of the river.
Question 106 :
A truck travelling due to north at $30\ m/s$ turns west and travels at the same speed, then the change in velocity is :
Question 107 :
Two particles $A$ and $B$ start moving with velocities $20\ m/s$ and $30\sqrt{2}\ m/s$ along $x-axis$ and at an angle $45^{o}$ with $x-$axis respectively in $xy-plane$ from origin. The relative velocity of $B$ w.r.t. $A$
Question 108 :
Two parallel rail tracks run north-south. Train $A$ moves north with a speed of $54\ km{h}^{-1}$ and train $B$ moves south with a speed of $90\ km{h}^{-1}$. The relative speed of $B$ with respect to $A$ is:
Question 109 :
A stone A is dropped from a height h above the ground. A second stone B is simultaneously thrown vertically up from a point on the ground with velocity v. The line of motion of both the stones is same. The value of v which would enable the stone B to meet the stone A midway ( at midpoint) between their initial position is:
Question 110 :
The wheels of an airplane are set into rotation just before landing so that the wheels do not slip on the ground. If the airplane is travelling in the east direction, what should be the direction of angular velocity vector of the wheels?
Question 111 :
Consider a collection of a large number of particles each with speed $v$. The direction of velocity is randomly distributed in the collection. The magnitude of the relative velocity between a pair of particles averaged over all the pairs in the collection is <br/>
Question 112 :
A jet airplane travelling from east to west at a speed of $500\,km\ h^{-1}$ eject out gases of combustion at a speed of $1500\ km\ h^{-1}$ with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?
Question 113 :
A "moving sidewalk" in a busy airport terminal moves $1 m/s$ and is $200 m$ long. A passenger steps onto one end and walks, in the same direction as the sidewalk is moving, at a rate of $2.0 m/s$ relative to the moving sidewalk. How much time does it take the passenger to reach the opposite end of the walkway? (in seconds)
Question 114 :
A man of $80 kg$ attempts to jump from a small boat of mass $40 kg$ on to the shore. He can generate a relative velocity of $6 m/s $ between himself and boat. His velocity towards the shore is:
Question 115 :
If the plane has an eastward heading, and a $20 m/s$ wind blow towards the southwest, then the plane's speed is-
Question 116 :
Four persons A, B, C and D at the corners of an square of side $X$ move at a constant speed $V$. Each person maintains a direction towards the person at the next corner. The time, the persons take to meet each other is
Question 117 :
There is a regular bus service between towns A and B, with a bus leaving towns A and B every $T$ minutes. A cyclist moving with a speed of $20\ km h^{-1}$ in the direction A to B notices that a bus goes past him every $18  mins$ in his direction and every $6  mins$ in the opposite direction. What is the period $T$ of bus service?
Question 118 :
A juggler tosses a ball up in the air with speed $u$ . At the instant it reaches its maximum height $H$ , he tosses up a second ball with the same initial speed. The two balls will collide at a height.
Question 119 :
Two bodies are thrown vertically upward, with the same initial velocity of $98\ m/s$ but $4\ sec$ apart. How long after the first one is thrown when they meet ?
Question 120 :
A train is moving at a constant speed V when its driver observes another train in front of him on the same track and moving in the same direction with constant speed v. If the distance between the trains is x, then what should be the minimum retardation of the train so as to avoid collision?
Question 121 :
Two particles A and B are shot from the same height at $t=0$ in opposite directions with horizontal velocities $3m/s$ and $4m/s$ respectively. If they are subjected to the same vertical acceleration due to gravity ($g=9.8m/{s}^{2}$). the distance between them when their velocity vectors become mutually perpendicular is:
Question 122 :
A bus is moving with a speed of $10ms^{-1}$ on a straight road. A scooterist wishes to overtake the bus in 100s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus ?<br>
Question 123 :
A stone is dropped from a height h. Simultaneously, another stone is thrown up from the ground which reaches a height of $4h$. The two stones cross each other after time
Question 124 :
The driver of a train moving with a constant speed $v_1$ along a straight track sights another train at a distance d ahead of him on the same track moving in the same direction with a constant speed $v_2$. He at once applies the brakes and gives his train a constant retardation f. There will be a collision of the trains if:<br>
Question 125 :
A police party is moving in a jeep at a constant speed $V$. They saw a thief at a distance $x$ on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration $a$. Which of the following relations is true if the police is able to catch the thief?<br/>
Question 126 :
A person walk up a stalled 15 m long escalator in 90 s. When standing on the same escalator, now moving, the person is carried up in 60 s. How much time would it take that person to walk up the moving escalator? Does the answer depend on the length of the escalator?<br>
Question 127 :
Two trains are moving with velocities $\displaystyle v_{1}=10\ ms^{-1}$ and $\displaystyle v_{2}=20\ ms^{-1}$ on the same track in opposite directions. After the application of brakes if their retarding rates are $\displaystyle a_{1}=2\ ms^{-2}$ and $\displaystyle a_{1}=1\ ms^{-2}$ respectively, then the minimum distance of separation between the trains to avoid collision is<br>
Question 128 :
Assertion: Displacement-time equation of two particles moving in a straight line are, $\displaystyle s_{1}=2t-4t^{2}$ and $\displaystyle s_{2}=2t+4t^{2}.$ Relative velocity between the two will go on increasing.
Reason: If velocity and acceleration are of same sign then speed will increase.
Question 129 :
The time in which the ball strikes the floor of elevator is given by<br>
Question 130 :
A thief in a stolen car passes through a police check post at his top speed of $\displaystyle 90\ kmh^{-1}.$ A motorcycle cop, reacting after $2\ s$, accelerates from rest at $\displaystyle 5\ ms^{-2}.$ His top speed being $\displaystyle 108\ kmh^{-1}.$ Find the maximum separation between policemen and thief.<br/>
Question 131 :
The driver of a train moving with a speed $v_{ 1 }$ sights another train at a distance $s$, ahead of him moving in the same direction with a slower speed $v_{ 2 }$. He applies the brakes and gives a constant deceleration $a$ to his train. For no collision, $s$ is<br>
Question 132 :
Two persons A and B running on a straight track in the same direction observe a car. A says that the car is moving in east direction and B says that the car is moving in north direction. They contradict the direction but say that magnitude is same. If the speed of B is double that of the speed of A, then the true direction of the car will be<br/>
Question 133 :
Two particles move in space with nonzero initial relative velocity and nonzero constant relative acceleration. Then :<br/>
Question 134 :
A particle is thrown up inside a stationary lift of sufficient height. The time of flight is $T$. Now it is thrown again with same initial speed $v_{0}$ with respect to lift. At the time of second throw, lift is moving up with speed $v_{0}$ and uniform acceleration $g$ upward (the acceleration due to gravity). The new time of flight is :<br/>
Question 135 :
N particles moving in a straight line have initial velocities of 1, 2, 3, ........... N m/s and accelerations of 1, 2, 3, ...... N m/s$^2$ respectively. If the initial spacing between any two consecutive particles is same then, select the correct alternative(s).<br/>
Question 136 :
distance travelled by the ball upto that instant, when lift and ball were of same height from ground Take $\displaystyle g= 10m/s^{2}$
Question 137 :
The driver of an express train travelling at a speed of $v_{1}$ sees on the same track at distance $d$ in front of him a goods train travelling in the same direction at a speed $v_{2}$ such that $v_1>v_2$. Immediately he applies brakes to his express train producing retardation $a$ to avoid collision. Then
Question 138 :
If six persons are at the corners of a regular hexagon of side $X$ move at a constant speed $V$. Each person maintains a direction towards the person at the next corner. The time, the persons will take to meet each other is
Question 139 :
The maximum height reached by ball, as measured from the ground would be<br>
Question 140 :
Two particles $P$ and $Q$ move in a straight line $AB$ towards each other. $P$ starts from $A$ with velocity $u_{1}$, and an acceleration $a_{1}$, $Q$ starts from $B$ with velocity $u_{2}$ and acceleration $a_{2}$.They pass each other at the midpoint of $AB$ and arrive at the other ends of $AB$ with equal <i></i>velocities
Question 141 :
Displacement of ball with respect to ground during its flight would be<br>
Question 142 :
The maximum separation between the floor of elevator and the ball during its flight would be <br>
Question 143 :
A man is driving at the speed $40 mph$ when he see an obstacle at distance $300 ft$ ahead of his position. The driver applies the brakes and decelerates at $10 ft/s^2$.How far from the obstacle will the driver be when he finally stops? (in metres)
Question 144 :
A man is driving at the speed $40 mph$ when he see an obstacle at distance $300 ft$ ahead of his position. The driver applies the brakes and decelerates at $10 ft/s^2$ How long does it take him to stop the vehicle? (in s)
Question 145 :
Ima Hurryin is approaching a stoplight moving with a velocity of $+30.0 m/s$. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is $-8.00 m/s^2$, then determine the displacement of the car during the skidding process. (Note that the direction of the velocity and the acceleration vectors are denoted by a $+$ and a $-$ sign.)
Question 146 :
A bullet travelling horizontally loses ${\dfrac{1}{20}^{th}}$ of its velocity while piercing a wooden plank. Number of such planks required to stop the bullet is:
Question 147 :
A car traveling at a speed $ 30 km h^{-1}$ is brought to a halt in 8 m by applying breaks. If the same car is traveling at $60 km h^{-1}$, it can be brought to a halt with the same breaking power in :
Question 148 :
A particle starts from the origin with a velocity of 10 m/s and moves with a constant acceleration till the velocity increases to 50 m/s. At that instant, the acceleration is suddenly reversed. What will be the velocity of the particle, when it returns to the starting point?
Question 149 :
A particle moves in circle of radius $9m$. Its linear speed is given by $v=3t$. What is the net acceleration of the partical at $T=2\ sec$.
Question 150 :
Two cars 1 & 2 starting from rest are moving with speeds $V_1 $ and $V_2 m/s (V_1 > V_2),$ car 2 is ahead of car '1' by 'S' metres when the driver of car '1' sees car '2'. What minimum retardation should be given to car '1' to avoid collision.
