Question 1 :
A body falls freely under gravity from rest and reaches the ground in time $t$. Write expression for the height fallen by the body.
Question 2 :
An artificial satellite of the earth releases a packet. If air resistance is neglected, the point where the packet will hit,<br/>
Question 3 :
A constant force $F$ acts on a particle of mass 1 kg moving with a velocity $v$, for one second. The distance moved in that time is :
Question 4 :
A food packet is released from a helicopter rising steadily at the speed of $2\ { m }/{ s }$. After $2$ seconds the velocity of the packet is (Take $g=10  { m }/{ { s }^{ 2 } } $):
Question 5 :
In which of following cases, the average velocity of a body is equal to its instantaneous velocity?
Question 7 :
If a body moving in a circle of radius $10m$ is covering a displacement of $20m$, in $10s$, then the speed of the body can be
Question 8 :
The order of magnitude of revolution period of the earth around the sun is
Question 11 :
A particles revolves along a circle with a uniform speed. The motion of the particle is ____ .
Question 12 :
If a particle moves in a closed path with a constant speed of 10 m/s, we can always say, that there will be a change in velocity. 
Question 13 :
In a uniform linear motion which of the following quantities remains zero?
Question 14 :
State whether the given statement is True or False :A uniform linear motion is unaccelerated, while a uniform circular motion is an accelerated motion.<br/>
Question 15 :
A jeep is accelerating uniformly in a straight line with $5 m/s^2$. Calculate the time required to cover a distance of 200 m if jeep starts from rest :
Question 16 :
If the body is moving in a circle of radius $r$ with a constant speed $V$, its angular velocity is
Question 17 :
The motion of a bus going around a traffic roundabout is curvilinear motion. True or false.
Question 18 :
Which of the following quantity remains constant in a uniform circular motion?<br>
Question 19 :
The speed of a car reduces from $15  m  s^{-1} $ to  $5  m  s^{-1}$ over a displacement of 10 m. What is the uniform acceleration of the car?<br/>
Question 20 :
Assertion: Linear momentum of a body changes even when it is moving uniformly in a circle.
Reason: In uniform circular motion velocity remains constant.
Question 21 :
Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10\ ms^{-1}$. It implies that the boy is :<br/>
Question 24 :
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle The motion of he particle takes place in a plane It follows that ________
Question 27 :
If a ball thrown vertically up attains a maximum height of 80m, its initial speed is$\displaystyle ( g ={ 10\quad ms }^{ -2 } )$.
Question 28 :
Circular Motion can be an example of periodic motion. State whether the given statement is True or False.
Question 30 :
State whether the given statement is True or False :The motion of the moon around the earth in circular path is an accelerated motion.<br/>
Question 31 :
A frog that jumps upwards is under the influence of gravity and accelerates at a constant rate.<br>If it has an initial upwards velocity of ${v}_{0}=5.00{m}/{s}$, approximately how far above the ground will it be when it has velocity $v=-2.50{m}/{s}$?
Question 34 :
A bullet emerge from a barrel of length 1.2 m with a speed of$\displaystyle 640{ ms }^{ -1 }$. Assuming constant acceleration, the approximate time that it spends in the barrel after the gun is fired is
Question 35 :
A stone tied to a string is whirled in a circle. As it is revolving, the string suddenly breaks. The stone then
Question 37 :
Which of the following are examples of uniform circular motion ?
Question 38 :
An object is said to move in uniform linear motion if it travels in straight line and covers equal DISTANCE in the equal time interval, State whether given statement is True/ False?
Question 39 :
In the equation of motion, $S = ut + 1/2 at^2$, S stands for
Question 40 :
In uniform circular motion, the factor that remains constant is :
Question 41 :
Uniform Circular Motion refersto a motion of an object in a circle at a constant _________.
Question 42 :
In uniform circular motion, the velocity vector and acceleration vector are:
Question 43 :
If a trolley starts from rest with an acceleration of 2 $m/s^2$, the velocityof the body after 4 s would be
Question 46 :
The only property that does not change in a uniform circular motion is
Question 47 :
A ball of mass m is thrown straight upward from the top of a multi-storey building with an initial velocity of +15 m/s.<br/>Find out the time taken by the ball to reach its maximum height?<br/>
Question 48 :
Assertion(A): In uniform circular motion the particle has zero acceleration.<br/>Reason (R) : Centripetal force is essential to keep a particle in circular motion.<br/>
Question 49 :
When a body moves in circular path with uniform speed, it's motion is called uniform circular motion<br>State whether given statement is True/False?
Question 50 :
In a uniform circular motion, the magnitude and direction of velocity at different points remain the same.
Question 51 :
A body moving in circular motion with constant speed has :
Question 52 :
A car moving with speed $30$ m/s on a circular path of radius $500$m. Its speed is increasing at the rate of $2m/s^2$. The acceleration of the car is?
Question 54 :
Three forces are acting on a particle of mass m initially in equilibrium.If the first two forces $ (R_1 \,and\, R_2) $ perpendicular to each other and suddenly the third force $ (R_3) $ is removed, then the acceleration of the particle is:
Question 55 :
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows
Question 56 :
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 57 :
The slope of velocity-time graph for motion with uniform velocity is equal to
Question 58 :
A vehicle moving at a speed of 15 m/s is stopped by applying brakes which produce a uniform acceleration of -0.5 $m/s^2$. The distance covered by the vehicle before it stops is:
Question 59 :
A ball thrown vertically upwards with a velocity of 25 m/s reaches its highest point of at 35 m in 1.5 sec. Find the total distance travelled by the ball and its position after 2 sec respectively.
Question 60 :
A stone is dropped from a height of 45m. What will be the distance travelled by it during the last second of its motion?(Take $g = 10m s^{-2}$)<br/>
Question 61 :
A body at rest starts sliding from top of a smooth inclined plane and requires $4 s$ to reach bottom. How much time does it take, starting from rest at top, to cover one-fourth of a distance?
Question 62 :
A metal sphere is sliding without friction down a slated incline, so that its acceleration down the slope is given by $a=+4.00{m}/{{s}^{2}}$. Half a second later, it has moved $1.00m$ down the slope.<br>What was its initial velocity?
Question 63 :
Assertion: A negative acceleration of a body can be associated with a speeding up of the body.
Reason: Increase in speed of a moving body is independent of its direction of motion
Question 64 :
A car attains a velocity of 10 m s$^{-1}$ in 5 s. If initially, it had been at rest, its acceleration must be ___________ .<br/>
Question 65 :
Two cars A and B move such that car A moving with a uniform velocity of $15\ ms^{-1}$ overtakes car B starting from rest with an acceleration of $3\ ms^{-2}$. After how much time do they meet again?<br/>
Question 66 :
A body is released from a height and it falls freely towards the earth. Exactly 1 s later another body is released. What is the distance between the two bodies 2 s after the release of the second body?<br/>
Question 67 :
When the speed of a car is $v$, the minimum distance over which it can be stopped is $s$. If the speed becomes $nv$, what will be the minimum distance over which it can be stopped during the same time?<br>
Question 68 :
Assertion: To move a body uniformly in a circular path, an external agent has to apply a force.
Reason: To more a body uniformly in a circular path, an external agent has to do work.
Question 69 :
An express train moving at $30 m/s$ reduces its speed to $10 m/s$ in a distanceof $240 m$. If the breaking force increase by $12.5\% $ in the beginning find the distance that its travels before coming to rest<br>
Question 70 :
Two particles P and Q are located at distances $r_P$ and $r_Q$ respectively from the axis of a rotating discsuch that$r_P\, >\,$ $r_Q$
Question 71 :
Write true or false for the following statements :<br>The acceleration of a body thrown up is numerically the same as the acceleration of a downward falling body but opposite in sign .
Question 72 :
A ball is projected vertically upwards with a velocity of $100\ m/s$. After $2$ second, a second ball is projected vertically upwards from the same point with a velocity $110$ $m/s$. When they meet, time taken by the first ball to meet the second one is $(g= 10\ m/s^{2})$:
Question 73 :
A particle is released from rest from a tower of height 3h.The ratio of times to fall equal height h,i.e., t$_{1}$: t$_{2}$ :t$_{3}$ is
Question 75 :
An aircraft has a lift-off of $120km/h$. What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of $240m$? (in $m/s^2$)
Question 76 :
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 77 :
The position vector of a particle is $\vec {r}=a[\cos \omega t \hat{i}+\sin \omega t\hat{j}]$. The velocity of the particle is
Question 78 :
A ball starts rolling on a horizontal surface with an initial velocity of 1 m/s. Due to friction, itsvelocity decreases at the rate of ${0.1 m/s^2}$ , Howmuch time will it take for the ball to stop?
Question 79 :
A particle starts from rest  with acceleration $ 2ms^2 $, The distance moved by particle in 5 sec is:
Question 80 :
A race car accelerates uniformly from $18.5 m/s$ to $46.1 m/s$ in $2.47$ seconds. Determine the acceleration of the car. (in $m/s^2$)
Question 81 :
A train 50 m long passes over a bridge at a constant velocity of 30 km/h. If it takes 36 s to cross the bridge, the length of the bridge will be
Question 82 :
A wooden block of mass $10$ gm is dropped from the top of a cliff $100$ m high. Simultaneously a bullet of mass $10$ gm is fired from the foot of the cliff  upward with a velocity $100$ m/s. The bullet and the wooden block will meet each other after a time of:
Question 83 :
A car travels a distance 100 m with a constant acceleration and average velocity of $20\, ms^{-1}$. The final velocity acquired by the car is $25\, ms^{-1}$. Find the acceleration of the car.
Question 84 :
A particle is projected upwards. The times corresponding to height $h$ while ascending and while descending are $ t_1$ and $t_2$ respectively. The velocity of projection will be <br/>
Question 85 :
A train is running at full speed when brakes are applied. In the first minute it travels $8\; km$, and in the next minute it travels $3 \;km$. Assuming constant retardation, initial speed of the train is
Question 86 :
Assertion: A body with constant acceleration always moves along a straight line.
Reason: A body with constant acceleration may not speed up.
Question 87 :
If a particle moves in a circle with constant speed, its velocity :
Question 88 :
A car starts from rest and moves along the x-axis with constant acceleration $5 ms^{-2}$ for 8 seconds. If it then continues with constant velocity, what distance will the car cover in 12 seconds since it started from rest?<br/>
Question 89 :
A point moves with uniform acceleration and ${ v }_{ 1 }$, ${ v }_{ 2 }$ and ${ v }_{ 3 }$ denote the average velocities in ${ t }_{ 1 }$, ${ t }_{ 2 }$ and ${ t }_{ 3 }$ sec. Which of the following relations is correct?
Question 90 :
An object is dropped from rest at a height of 150 m and simultaneously another object is dropped from rest at a height 100 m. What is the difference in their heights after 2 s if both the objects drop with same accelerations? How does the difference in heights vary with time?<br/>
Question 91 :
A ball is dropped from the top of a building $100 \ m$ high. At the same instant another ball is thrown upwardswith a velocity of$40\ ms^{-1}$from the bottom of the building. The two balls will meet after.
Question 92 :
A body travelling with uniform acceleration crosses two points $A$ and $B$ with velocities $20\ ms^{-1}$ and $30\ ms^{-1}$ respectively. The speed of the body at mid-point of $A$ and $B$ is:
Question 93 :
In a uniform circular motion (horizontal) of a ball tied with a string, velocity at any time is at an angle, $\theta$, with acceleration. Then $\theta$ is:<br/>
Question 94 :
If body having initial velocity zero is moving with uniform acceleration $ 8 m / sec^2 $ .The distance travelled by it in fifth second will be :
Question 95 :
A car was moving at $1m{s}^{-1}$ when brakes were applied. The brakes offered a retardation of $0.5m{s}^{-2}$. If the brakes are applied for $2 s$, after $2 s$
Question 96 :
Two bodies of different masses $\displaystyle {m} _ {1} \ and\ {m} _ {2}$ are dropped from two different heights $\displaystyle {h} _ {1}\ and \ {h} _ {2}$. What is the ratio of time taken by the two to reach the ground ?
Question 97 :
Assertion: Position-time graph of a stationary object is a straight line parallel to time axis.
Reason: For a stationary object, position does not change with time.
Question 98 :
A body projected up with a velocity $u$ reaches a height $h$. To reach double the height, it must be projected up with a velocity of:
Question 99 :
A body thrown with an initial speed of $ 96\, ft / sec $ reaches theground after $ ( g = 32 ft / sec^2 )$
Question 100 :
A body projected vertically up with a velocity of 10 m s$^{-1}$ reaches a height of 20 m. If it is projected with a velocity of 20 m s$^{-1}$, then the maximum height reached by the body is :<br>
Question 101 :
A particle experiences constant acceleration for $6\;s$ after starting from rest. If it travels a distance $s_{1}$ in the first $2\;s$, a distance $s_{2}$ in the next $2\;s$ and a distance $s_{3}$ in the last $2\;s$, then $s_{1}:s_{2}:s_{3}$ is:
Question 102 :
A ball is released from the top of a tower of height  $h$ meters. It takes $T$ second to reach the ground. What is the position of the ball in  $T/3$ second?<br/>
Question 103 :
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 104 :
The position vector of the particle is $r(t)=a\cos\omega t\hat{i}+a\sin\omega t \hat{j}$, where $a$ and $\omega$ are real constants of suitable dimensions. The acceleration is 
Question 106 :
A particle experience a net force that is always parallel to y-axis. If it moves along the curve $xy=a^2$ where $a$ is a constant andthe magnitude of the force is $y^n$, then $n$ is
Question 107 :
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 108 : <p>A particle is moving in $xy - plane$ in a circular path with center at the origin. If at an instant the position of the particle is given by $\frac{1}{{\sqrt 2 }}\left( {\hat i + \hat j} \right)$, then the velocity of the particle is along</p>
Question 109 :
A car accelerates from rest at $5 {m/s}^2$ and then retards to rest at $3 {m/s}^2$. The maximum velocity of the car is $30$ $m/s$. The distance covered by the car is
Question 110 :
the body travels a distance ${S_1}$ with velocity ${V_1}$ and distance ${S_2}$ with velocity ${V_2}$ in same direction$.$ calculate the avg. velocity of the body$?$
Question 111 :
A car, moving at 1.5 $m{s}^{-1}$ applies brakes and comes to rest in $2 s$. If the same car travels at double the speed, what time would it take to come to rest after applying brakes?
Question 112 :
A particle is falling freely under gravity from rest. In first $t$ second it covers distance $\displaystyle x_{1}$ and in the next $t$ second it covers distance $\displaystyle x_{2},$ then $t$ is given by:<br/>
Question 113 :
A small ball rolls of the top of a stairway horizontally with a velocity of $4.5 ms^{-1}$. Each step is $0.2 m$ high and $0.3$ m wide. If g is $10$ ms$^{-2}$, then the ball will strike the $n^{th}$ step where $n$ is equal to (assume ball strike at the edge of the step)
Question 114 :
The displacement of a particle moving in a straight line is given by $x=16t-2t^{2}$ (where, $x$ is in meters and $t$ is in second). The distance traveled by the particle in $8$ seconds [starting from $t$ $=$ 0] is<br/>
Question 115 :
The magnitude of displacement of a particle moving in a circle of radius $a$ with constant angular speed $\omega$ varies with time $t$ is
Question 116 :
The initial velocity of a particle (at $t = 0$) is $u$ and the acceleration by $f$ of particle at time $t$ is given $f=at$. Where $a$ is a constant which of the following relation for velocity $v$ of particle after time $t$ is turn
Question 117 :
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 118 :
Two persons just manage to push a block from left to right direction along a horizontal level road with uniform velocity. When the same block is pushed by three persons in same direction a constant acceleration of $0.2m{s}^{-2}$ is produced in the block. If the five persons push the block in same direction together, then the magnitude of acceleration of the block will be (Assume that each person applies the force equal in magnitude)
Question 119 :
A stone is dropped from the top of a tower and one second later, a second stone is thrown vertically downward with a velocity $\displaystyle 20 m/s$.The second stone will overtake the first after travelling a distance of (g= $\displaystyle 10 m/s^{2}$):<br/>
Question 120 :
A car is travelling at 30 m/s on a circular road of radius 300m. It is increasing its speed at the rate of $4 m/s^2$. The acceleration of the car is .................
Question 121 :
A $10$ g bullet moving at $200$ m/s stops after penetrating $5$ cm of wooden plank. The average force exerted on the bullet will be?
Question 122 :
If a particle is moving in such a way that it's average acceleration turns out to be different for a number of different time intervals, the particle is said to have variable acceleration. The acceleration can vary in magnitude, or in direction or both. In such cases we find acceleration at any instant, called the instantaneous acceleration. It is defined as $\vec { a } =\underset { \Delta t=0 }{\text{lim} } \cfrac { \Delta \vec { v }  }{ \Delta t } =\cfrac { d\vec { v }  }{ dt } $<br/>That is acceleration of a particle at time $t$ is the limiting value of $\cfrac { \Delta v }{ \Delta t } $at time $t$ as $\Delta t$ approaches zero. The direction of the instantaneous acceleration $\vec { a } $ is the limiting direction of the vector in velocity $\Delta v$.<br/><br/><br/>A particle is moving along a straight line with $10\ m{ s }^{ -1 }$. It takes a U-turn in $5\ s$ and continues to move along with the same velocity $10\ m{ s }^{ -1 }$. Find the magnitude of average acceleration during turning.<br/>
Question 123 :
To test the quality of a tennis ball, you drop it onto the floor from a height of $4.00 m$. It rebounds to a height of $2.00 m$. If the ball is in contact with the floor for $12.0 ms$, what is its average acceleration during that contact? Take $g=10 \displaystyle m/s^{2}.$<br/>
Question 124 :
A particle is moving with uniform acceleration along a straight line ABC. Its velocity at 'A' and 'B' are 6m/s and 9m/s respectively. AB:BC=5:16 then its velocity at 'C' is
Question 126 :
A particle starts from rest with constant acceleration for $20$ sec. If it travels a distance $y_1$ in the first $10$ sec and a distance $y_2$ in the next $10$ sec then?
Question 127 :
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 128 :
What is the minimum height above the ground at which the rocketeer should catch the student?<br/>
Question 129 :
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 130 :
A body slides on an inclined plane. If height of inclined plane is '$h$' and length is '$l$' and angle of inclination is $\theta$ then time is taken for travelling from upper points to lower point is
Question 131 :
A particle is projected from ground with initial speed $u$ at angle $\theta$ with horizontal. If air friction is absent, then the average velocity of complete motion will be:
Question 132 :
A stone is thrown vertically upwards. When the stone is at a height equal to half of its maximum height its speed will be 10 m/s, then the maximum height attained by the stone is (Take g =10 $m/s^2$)
Question 133 :
The two ends of a train moving with a constant acceleration pass a certain pole with velocities $u$ and $v$. The velocity with which the middle point of the train passes the same pole is
Question 134 :
A ball is dropped from a bridge $122.5 m$ high. After the first ball has fallen for $2 seconds$, a second ball is thrown straight down after it, what must be the initial velocity of the second ball be, so that both the balls hit the surface of water at the same time?
Question 135 :
A bullet initially moving with a velocity $20ms^{-1}$ strikes a target and comes to reset after penetrating a distance $10 cm $ in the target .Calculate the retardation caused by the target.
Question 136 :
A particle is thrown vertically up with speed $u$ so that distance covered in last second of flight is $35 m$. If $g = 10\,m/{s^2}$ then initial speed of throw is 
Question 137 :
How long should a force of 100 N act on a body of 20 kg, so that it acquires a velocity of $100\ ms^{-1}$?<br/>
Question 138 :
In the above question , the time after which the centres of gravity of the two bodies will have a separation $h$, is<br/>
Question 140 :
A car moving along a circular path of radius R with uniform speed covers an angle $\theta$ during a given time t. What is its average velocity?
Question 141 :
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 143 :
Assertion: Acceleration of a moving particle can change it's direction without any change in direction of velocity.
Reason: If the direction of change in velocity vector changes, the direction of acceleration vector also changes.
Question 144 :
Find the average acceleration between points A and B at an angular separation of $60^{\circ}$<br>
Question 145 :
Two cars start off to race with velocities $4m/s$ and $2m/s$ and travel in straight line with uniform acceleration $1\,m/{s^2}$ and $2\,m/{s^2}$ respectively$.$ If they reach the final point at same time$,$ then the length of path is 
Question 146 :
A plane has a takeoff speed of $88.3 m/s$ and requires $1365 m$ to reach that speed. Determine the time required to reach this speed.
