Question 1 :
The acceleration of a body projected upwards with a certain velocity is
Question 2 :
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 3 :
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 5 :
The acceleration of a body projected upwards with a certain velocity is equal to :
Question 7 :
A stone dropped from the roof of a building takes 4 s to reach the ground. The height of the building is.
Question 8 :
Acceleration of a body projected upwards with a certain velocity is
Question 9 :
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 10 :
A rubber ball dropped from a certain height is an example of
Question 11 :
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 12 :
Find the ratio of the distances traveled by a body falling freely from rest in the first, second and third seconds respectively.
Question 14 :
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 15 :
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 16 :
A stone is dropped from a building and $2$ seconds later another stone is dropped. How far apart are these two stones by the time the first one reaches a speed of $30m{ s }^{ -1 }$? (Take $g=10m{ s }^{ -2 }$)
Question 17 :
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 18 :
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 19 :
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 20 :
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 21 :
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 22 :
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 23 :
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 24 :
A particle experiences constant acceleration for $20 s$ after starting from rest. If it travels a distance ${X}_{1}$, in the first $10 s$ and distance ${X}_{2}$, in the remaining $10 s$, then which of the following is true ?
Question 25 :
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 26 :
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 27 :
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 28 :
Two cars are moving in the same direction with the same speed $30km/hr$. They are separated by a distance of $5km$ the speed of a car moving in the opposite direction if it meets these two cars at interval of 4 minutes, will be:
Question 29 :
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 30 :
A bus moving with a speed of $10m/s$ on a straight road. A scooterist wishes to overtake the bus in $100s$. If the bus is at a distance of $1km$ from the scooterist, with what speed should the scooterist chase the bus?
Question 31 :
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 32 :
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 33 : <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 34 :
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is 
Question 35 :
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 36 :
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 37 :
A helicopter is flying south with a speed of $50\, km h^{-1}$. A train is moving at the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be towards
Question 38 :
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 39 :
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 40 :
A stone is thrown upwards and it rises to a height of $200 m$. The relative velocity of the stone with respect to the earth will be maximum at :
Question 41 :
A passenger in a moving train tosses a coin. If the coin falls behind him, the train must be moving with
Question 42 :
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 43 :
The same retarding force is applied to stop a train. If the speed is doubled, then the distance will be
Question 44 :
A bowling ball is rolling westward and slowing down as it approaches the end of the alley. The direction of the bowling ball's acceleration 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 much time will pass until it comes to rest? 
Question 46 :
A purple car is moving three times as fast as a yellow car. Each car slows down to a stop with the same constant acceleration.<br>How much more distance is required for the purple car to stop?
Question 47 :
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 48 :
How do the directions of velocity and acceleration act when brakes are applied to a moving cycle?
Question 49 :
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 50 :
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 51 :
Starting from rest, a body travels $36\; m$ in the first $2 $ s of its journey. The distance it can travel in the $11^{th}$ second is :
Question 52 :
Assertion: A stone dropped from a height, moves with constant velocity.
Reason: Time of descent is directly proportional to the square root of the initial velocity of the body.
Question 53 :
A car is going eastwards with a velocity of $8\, ms^{-1}$. A train appears to be moving northwards with a velocity $15 ms^{-1}$ relative to the passenger in the car. What is the actual velocity of the train? 
Question 54 :
A particle starts with initial speed $u$ and retardation a to come to rest in time $T$. The time taken to cover the first half of the total path travelled is
Question 55 :
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 56 :
A freely falling body covers half of its journey from the top of a tower in $0.5 s$. What is the height of the tower?
Question 57 :
The distance travelled by a body started with a velocity of $20 \ ms^{-1}$, and moving with an acceleration of 2 $ms^{-2}$, in the 8th second in metres:<br/>
Question 58 :
A car starts from rest and has an acceleration $a = 1 \mathrm { m } / \mathrm { s } ^ { 2 }$.A truck is moving with a uniform velocity of ${ 6 } \mathrm { m } / \mathrm { s }$. At what distance will the car overtake the truck? direction (at $t = 0$ both start their motion in the same direction from the same position)
Question 59 :
An elevator car whose floor-to-ceiling distance is equal to 2.7m starts ascending with a constant acceleration $1.2m/{s^2};2.0s$ after the start a bolt begins falling from the ceiling of the car. Find the displacement covered by the bolt during the free fall in the reference frame fixed to the elevator shaft.
Question 60 :
If a car at rest accelerates uniformly and attains a speed of 72 km/hr in 10 s, then it covers a distance of:
Question 61 :
The driver of a train travelling at $115\ km\ h^{-1}$ seen on the same track, $100\ m$ in front of him, a slow train travelling in the same direction at $25\ km\ h^{-1}$. The least retardation that must be applied to faster train to avoid a collision is
Question 62 :
A block is thrown with a velocity of $2 m/s$  (relative to ground) on a belt, which is moving with velocity $4 m/s$  in opposite direction of the initial velocity of block. If the block stops slipping on the belt after $4 s$ of the throwing then choose the correct statement(s)
Question 63 :
Three ships A. B & C are in motion. Ship A moves relative to B is with speed v towards North east Ship B moves relative to C with speed v towards the North-West. Then relative to A. C will be moving towards :-
Question 64 :
A ball is thrown vertically upward with a speed of $25.0\ m/s$. How high does it rise?
Question 65 :
A freely falling body means a body whose acceleration is equal to the acceleration due to gravity but its initial velocity may or may not be zero.<br>
Question 66 :
The time taken by a body to slide down a smooth inclined plane is 4 sec. The time taken by the body to slide, the first 1/4th of the length of the plane is
Question 67 :
A body is projected vertically upwards with a velocity $u$. It crosses a point in its journey at a height $h$ meter twice, just after $1$ and $7 $ seconds .The value of $u$ in $ms^{-1}$ is $ (g= 10ms^{-2})$
Question 68 :
Rex Things throws his mother's crystal vase vertically upwards with an initial velocity of $26.2 m/s$. Determine the height to which the vase will rise above its initial height.
Question 69 :
Initially car A is 21 m ahead of car B. Both start moving at time t=0 in same direction along straight line. if A is moving with constant velocity 20 m/s and B starts from rest with an acceleration ${ 2m/s }^{ 2 }$ towards A, then the time when car B will catch the car A is
Question 70 :
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 71 :
The distance traveled by a body in $IV^{th}$ second is twice the distance traveled in $II^{nd}$ second. If the acceleration of the body is $3m/{ s }^{ 2 }$, then its initial velocity is<br/>
Question 72 :
Assertion: In order to stop a car in shortest distance on a horizontal road, one should apply the brakes hard enough to just prevent slipping.
Reason: The coefficient of static friction is larger than the coefficient of kinetic friction.
Question 73 :
If a body starts from rest,the time in which it covers a particular displacement with uniform acceleration
Question 74 :
A 10 kg object free-falling from a cliff. Find out the velocity of the object after 1 sec and after 2 sec?<br/><br/>
Question 75 :
Journey in a train is adventurous particularly when you have a seat. The girl sitting near window ate a banana and dropped the peel from the window. Her co-passenger looking through the window found that it dropped vertically down and touched the ground in $0.2s$. After sometime she requested her sister sitting on the upper berth to drop a chocolate bar.The sister dropped the bar, but it fell in front of the girl instead of reaching her hand. She was angry but the co-passenger calmed her by saying that she dropped exactly in line of your hand but as the train is accelerating it did not reach you and fell in front of you. If the train would have moved with uniform velocity the chocolate will fall<br/>
Question 76 :
A $100\ m$ train is moving North at a speed of $16\ m s ^ { - 1 }$. A bird flying at 4 $m s ^ { - 1 }$ towards South crosses the train in
Question 77 :
Two particles one with constant velocity $50\ m/s$ and the other with uniform acceleration $10\ m/ s^{2}$, start moving simultaneously from the same place in the same direction. They will be at a distance of $125\ m$ from each other after
Question 78 :
Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for $2.60$ seconds, what will be his final velocity? (in m/s)
Question 79 :
 A particle has an initial velocity of ($3 \hat i+ 4\hat j$) m/s and a constant acceleration of $(4\hat i-3\hat j) \ m/s^2$. Its speed after one second will be equal to:
Question 80 :
A body starts from rest with uniform acceleration. If its velocity after n second is v, then its displacement in last two seconds is:
Question 81 :
If $v=x^2-5x+4$,find acceleration of the particle when velocity of the particle is zero
Question 82 :
A man of mass $60$kg and a boy of mass $30$kg are standing together on frictionless ice surface. If they push each other apart man moves away with a speed of $0.4$m/s relative to ice. After $5$sec they will be away from each other at a distance of.
Question 83 :
An observer moves with a constant speed along the line joining two stationary objects. He will observe that the two objects
Question 84 :
A body is thrown vertically upward from a point 'A' $125 \ m$ above the ground. It goes up to a maximum height of $250\  m$ above the ground and passes through 'A' on its downward journey . The velocity of the body when it is at a height of $70\  m$ above the ground is: ($\displaystyle g=10\ { ms }^{ -2 }$)
Question 85 :
The function which represents the height, $h(t)$, of a ball t seconds after it is kicked into the air is<br/>$h(t)\, =\, - 16t^2\, +\, 64t$.<br/>What does $t$ represent if $h(t)$ is zero ?
Question 86 :
A bus begins to move with an acceleration of $\dfrac{1}{2} \,m/s^2$. A person who is $40 \,m$ behind the bus, runs at a rate of $7 \,m/s$. Find the time taken by the person to catch the bus.
Question 87 :
The position $x$ of a particle varies with time $(t)$ as $x = at^{2}- bt^{3}$. The acceleration at time $t$ of the particle will be equal to zero, where $t$ is equal to
Question 88 :
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 89 :
Ramu and Somu are running towards north with 3 m/s and 4 m/s. Their friend Srinu is running towards south with 2 m/s. Then the magnitude of relative velocity of Somu w.r.t Ramu
Question 90 :
A person driving a car with a speed 72 km/h, suddenly sees a boy crossing the road . If the distance moved by a car, before the person applies brakes is 5m, the reaction time of the person is:
Question 91 :
State whether true or false.<br/>The time taken by a body which is falling freely from a height h to reach the ground is equal to $\sqrt{\dfrac{2h}{g}}$<br/>
Question 92 :
An aeroplane starting from a point travels towards north-east with a velocity of $400$ kmph. Another aeroplane starting from the same point travels towards north west with a velocity of $300$ kmph.The relative velocity of one aeroplane w.r.t. other is
Question 93 :
The distances traversed during equal intervals of time by a freely falling body from rest are in the ratio
Question 94 :
A stone is projected up with a velocity of $4.9\ m/s$ from the top of a tower and it reaches the ground after 3 s. Then the height of that tower is<br/>
Question 95 :
A student is standing at a distance of 50 metre from the bus. As soon as the bus begins its motion with an acceleration of $1 {ms}^{-2}$, the student starts running towards the bus with a uniform velocity $u$. Assuming the motion to be along a straight road, the minimum value of $u$, so that the student is able to catch the bus is
Question 96 :
A motorcycle travelling on the highway at a speed of $120 km/h$ passes a car travelling at a speed of 90 km/h. From the point of view of a passenger on the car, what is the velocity of the motorcycle?<br/>
Question 98 :
Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes with same speed. A man cycling with speed of 20km/h in the direction A to B, notices that a bus goes past him every ${ t }_{ 1 }$=18 minutes in the direction of motion, and every ${ t }_{ 2 }$=6 minutes in the opposite direction. What is the period T of the bus service? Assume that velocity of cyclist is less than velocity of bus.
Question 99 :
Starting from rest at the top of an inclined plane a body reaches the bottom of the inclined plane in 4 second. In what time dies the body cover one-fourth the distance starting from rest at the top?
Question 100 :
An object, moving with a speed of $6.25 \; ms^{-1}$, is decelerated at a rate given by $\dfrac{dv}{dt}=-2.5\sqrt{v}$ where $v$ is the instantaneous speed. The time taken by the object, to come to rest, would be <br>
Question 101 :
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 102 :
A body moving with uniform acceleration travels $84 m$ in $6 s$ and $264 m$ in $11 s$. Find the acceleration of the body.
Question 103 :
David drives half the distance from $A$ to $B$ at $40$ miles per hour and the other half of the distance at $60$ miles per hour. Calculate her average rate of speed, in miles per hour, for the entire trip.
Question 104 :
Two particles move in space with nonzero initial relative velocity and nonzero constant relative acceleration. Then :<br/>
Question 105 :
A particle is projected from suitable height from ground with velocity $\vec{u} = (8\hat{i} + 6\hat{j})$. Take y-axis along vertical and x-axis along horizontal. At what time velocity is perpendicular to initial velocity? $(g = 10m/s^2)$
Question 106 :
Two cars are travelling towards each other on a straight road at velocities $15ms^{-1}$ and $16ms^{-1}$ respectively. When they are $150$m apart, both the drivers apply the breaks and the cars decelerates at $3ms^{-2}$ and $4ms^{-2}$ until they stop. How for apart will they be when they have come to a stop.
Question 107 :
the maximum height above the building the rock reaches (in m)
Question 108 :
Position of particle is given by $x = t ^ { 3 } - 4 t ^ { 2 } + 5 t + 9.$ What would be the distance traveled by particle from instant $t = 0$ to instant when particle changes its direction of velocity for last time.
Question 109 :
A body is dropped from a height of $80$m on to a horizontal floor and impings repeatedly. If it stops in $6$ seconds, the total distance travelled by it before stops is (nearly). $(g=10ms^{-2})$.
Question 110 :
Let A, B, C, D be points on a vertical line such that AB = BC = CD. If a body is released from position A, the time interval of descent through AB, BC and CD are in the ratio:
Question 111 :
The acceleration due to gravity g is determined by dropping an object through a distance of exactly 10 m. The time is to be measured so that the result is to be good to 0.1%. If the absolute error is $n \times 10^{-4}$ S, find n. (Take g = 10 m/s$^{2}$ in calculation)
Question 112 :
A particle having a velocity $\displaystyle v=v_{0}$ at $t= 0$ is decelerated at the rate $\displaystyle \left | a \right |=\alpha \sqrt{v},$ where $\displaystyle \alpha$ is a positive constant.<br>
Question 113 :
A ball is thrown upward with an initial velocity of $\displaystyle 100\ ms^{-1}.$ After how much time will it return to the ground.
Question 114 :
A particle is moving on a circle of radius R. At an instant, tangential velocity and tangential acceleration are v & A respectively. Total acceleration of the particle at that instant is ?
Question 115 :
An open lift is coming down from the top of a building at a constant speed v=10 m/s. A boy standing on the lift throws a stone vertically upwards at a speed 30 m/s. w.r.t. himself. The time after which he will catch the stone is
Question 116 :
A motor car is travelling at $30m/s$ on a circular road of radius $500m$. It is increaseing in speed at the rate of $2m/s^{2}$. Then the acceleration of the car will be
Question 117 :
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 118 :
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 119 :
A stone drop from height 'h' reaches at earth surface in 1 sec. If the same stone is taken to moon and dropped freely from height h, then it will reach the surface of moon in ..... sec
Question 120 :
If the plane has an eastward heading, and a $20 m/s$ wind blow towards the southwest, then the plane's speed is-
Question 121 :
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 $\dfrac{T}{3}$ seconds?
Question 122 :
A body was initially moving with $10\ m/sec$ and it starts acceleration with $2\ m/sec^{2} $, the distance covered by it in $10\ sec$ will be
Question 123 :
A ball is thrown vertically upwards from the ground and a student gazing out of the window sees it moving upward past him at $\displaystyle 10 \ ms^{-1}.$ The window is at  $15$ m above the ground level. The velocity of ball $3\ s$ after it was projected from the ground is (take $ \ g= 10 \ ms^{-2} $)<br/>
Question 124 :
An elevator is going up with an upward acceleration of $1$ $\displaystyle m/s^{2}.$ At the instant when its velocity is $2 m/s$, a stone is projected upward from its floor with a speed of $2 m/s$ relative to the elevator, at an elevation of $\displaystyle 30^{\circ}.$ If the elevator was moving with a downward acceleration equal to $g$, how would the motion be altered?
Question 125 :
A car moving at $2.5 m{s}^{-1}$ doubles its velocity with an acceleration of $0.5 m{s}^{-2}$ in some time. If the same car travels at $1.5 m{s}^{-1}$, what will be its final velocity if same acceleration acts on it for same time?
Question 126 :
A ball is thrown vertically upwards from the top of a lower with a speed $ 100\space m/s $ . It strikes the pond near the base of the tower after $25\space second$ . The height of the tower is :
Question 127 :
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 128 :
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 129 :
Displacement of ball with respect to ground during its flight would be<br>
Question 130 :
A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance ?
Question 131 :
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 132 :
A stone is thrown vertically upward from cliff with velocity $5$ m/s. It strikes the pond near the base of cliff after $4$ sec. The height of cliff is?
Question 133 :
A stone falls from rest. The total distance covered by it in the last second of its motion is equal to the distance covered in the first three seconds. What is the height from which the stone was dropped? Take g = 10 $m/s^2$:
Question 134 :
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 135 :
Assertion: Starting from rest with zero acceleration if acceleration of particle increases at a constant rate of $\displaystyle 2 \;ms^{-3}$ then velocity should increase at constant rate of $\displaystyle 1\; ms^{-2}$.
Reason: For the given condition$\displaystyle \frac{da}{dt}=2 \;ms^{-3}$ therefore $a=2t$.
Question 136 :
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 137 :
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 138 :
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 139 :
A bird files for 4s with a velocity of $| t - 2| m/s$ in a straight line, where t is time in seconds. It covers a distance of:
Question 140 :
The instanteous speed of an object at the midpoint of a trip is defined to be the
Question 141 :
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 142 :
A body moving with some initial velocity and having uniform acceleration attains a final velocity $v m/s$ after traveling x m. if its final velocity is $v= \sqrt(180-7x)$. find the acceleration of the body
Question 143 :
A car moving along a straight highway with a speed of $126 kmph$ is brought to a stop within a distance of $200 m$. What is the acceleration of the car and how long does it take for the car to stop?<br/>
Question 144 :
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 145 :
A ball is thrown with a velocity of $6\mathrm { m } / \mathrm { s }$ vertically from a height $\mathrm { H } = 3.2 \mathrm { m }$ above a horizontal floor. If it rebounds back to same height then coefficient of restitution $e$ is $\left[ 9 = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right]$
Question 146 :
A 13$\mathrm { N }$ weight and 12$\mathrm { N }$ weight are connected by a massless string over a massless, frictionless pulley.The 13$\mathrm { N }$ weight has a downward acceleration with magnitude equal to that of a freely falling body, times.
Question 147 :
With what speed in miles/hour ($1 m/s = 2.23 mi/h$) must an object be thrown to reach a height of $91.5 m$ (equivalent to one football field)? Assume negligible air resistance.
Question 148 :
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.
Question 149 :
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 150 :
A traveller while in a uniformly moving train throws a ball up in the air. The ball will return-
