Question 1 :
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 2 :
A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is $S_1$ and that covered in the first 20 seconds is $S_2$ then:<br/>
Question 5 :
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 6 :
Consider the following two statements A and B and identify the correct option:<br/>A) When a rigid body is rotating about its own axis at a given instant, all particles of body possess same angular velocity.<br/>B) When a rigid body is rotating about its own axis, the linear velocity of a particle is directly proportional to its perpendicular distance from axis.<br/>
Question 7 :
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 8 :
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 9 :
The only property that does not change in a uniform circular motion is
Question 10 :
When a stone tied to a thread and rotated with the unifrom speed it performs the uniform circular motion.<br/>State whether given statement is True/False?<br/>
Question 12 :
State whether the given statement is True or False :In a uniform circular motion, the speed continuously changes because the direction of motion changes.<br/>
Question 13 :
The initial velocity of a particle, $\vec{u}=4\vec{i}+3\vec{j}$. It is moving with uniform acceleration, $\vec{a}=0.4\vec{i}+0.3\vec{j}$. Its velocity after $10$ seconds is
Question 14 :
A body dropped from a height reaches the ground in $5\;s$. The velocity with which it reaches the ground is ($g=9.8\; ms^{-2}$):
Question 16 :
If the body is moving in a circle of radius $r$ with a constant speed $V$, its angular velocity is
Question 17 :
A particles revolves along a circle with a uniform speed. The motion of the particle is ____ .
Question 18 :
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 19 :
The slope of velocity-time graph for particle moving with uniform velocity is equal to
Question 20 :
(1) : In uniform circular motion the kinetic energy of the body is constant.<br/> (2) : In uniform circular motion the tangential force is zero.<br/>
Question 22 :
State whether the given statement is True or False :The earth moves around the sun with a uniform velocity.<br/>
Question 23 :
Which of the following quantities may remain constant during the motion of an object in a circular path?<br/>
Question 25 :
 (1):In uniform circular motion, tangential acceleration is zero.(2) : In uniform circular motion, velocity is constant.<br/>
Question 26 :
A force of $100\ N$ acting on a body for $5$ second gives it a velocity of $20\ m\ s^{-1}$. Calculate the mass of the body.
Question 27 :
A particle of mass 3 kg moves under the force of $4\hat{i}+8\hat{j}+10\hat{k}$ N. If the particle starts from rest and was at origin initially. Its new co-ordinates after 3 seconds is :
Question 28 :
A particle moves in a circle describing equal angle in equal times, its velocity vector
Question 29 :
A wheel spins on its axis at a constant rate and hasn't yet made a complete rotation.Which of the following statements is correct?
Question 30 :
In which of following cases, the average velocity of a body is equal to its instantaneous velocity?
Question 31 :
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 32 :
Which of the following is an example of uniform circular motion?
Question 34 :
In uniform circular motion, the velocity vector and acceleration vector are:
Question 35 :
A particle travel half of the distance of a straight journey with a speed $6 m/s$. The remaining part of the distance is covered with speed $2 m/s$for half of the time remaining journey and with speed $4 m/s$for other half of time. The average speed of the particle is
Question 37 :
In the case of uniform circular motion, which one of the following physical quantities does not remain constant?<br>
Question 38 :
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 the plane. It follows that
Question 39 :
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 40 :
If a trolley starts from rest with an acceleration of 2 $m/s^2$, the velocityof the body after 4 s would be
Question 41 :
In uniform circular motion, the factor that remains constant is :
Question 42 :
A stone tied to a string is whirled in a circle. As it is revolving, the string suddenly breaks. The stone then
Question 43 :
Circular Motion can be an example of periodic motion. State whether the given statement is True or False.
Question 44 :
The velocity of a body depends on time according to the equation v=$\frac{t^2}{10} + 20$. The body is undergoing
Question 45 :
The time taken by a vertically projected body before reaching the ground is:
Question 46 :
The distance $x$ covered in time $t$ by a body having initial velocity ${ v }_{ 0 }$ and having constant acceleration $a$ is given by $x={ v }_{ 0 }t+1/2a{ t }^{ 2 }$. This result follows from :<br/>
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 :
A body is travelling in a circle at constant speed. It 
Question 49 :
Uniform circular motion is called continuously accelerated motion mainly because its :
Question 50 :
Is it possible to have an accelerated motion with a constant speed? Name such type of motion.<br>
Question 51 :
A body is moving with constant acceleration from A to B in a straight line. C is the mid-point of AB. If u and v are the speeds at A and B respectively. The speed at C is
Question 52 :
<b>Statement 1 :</b> Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis.<br/><b>Statement 2 :</b> In uniform motion of an object velocity increases as the square of time elapsed.
Question 53 :
Tripling the speed of a motor car multiplies the distance needed for stopping it by
Question 54 :
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 55 :
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 56 :
What should be the projection velocity for a body to reach the same height on the Moon as compared to that on the Earth?<br/>
Question 57 :
When brakes are applied to a bus, the retardation produced is  $25 cm{s}^{-2}$ and the bus takes $20s$ to stop. Calculate the initial velocity of the bus.
Question 58 :
Two bodies of different masses are dropped from heights of 2 m and 8 m  respectively then the ratio of the time taken by them is:<br/>
Question 59 :
A ball is dropped from the top of a building. Theball takes $0.2$ s to fall past the $3$ m length of awindow some distance from the top of the building.Speed of the ball as it crosses the top edge ofthe window is $(g=10ms^{-2})$
Question 61 :
Among the following statement, find which statements depicts a uniform circular motion
Question 62 :
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 63 :
Whenever an object moves with a constant speed, its distance - time graph is a
Question 64 :
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 65 :
A stone thrown vertically upwards with a speed of $5{ m }/{ s }$ attains a height ${ H }_{ 1 }$. Another stone thrown upwards from the same point with a speed of $10{ m }/{ s }$ attains a height ${ H }_{ 2 }$. The correct relation between ${ H }_{ 1 }$ and ${ H }_{ 2 }$ is<br>
Question 66 :
An athlete completes one round of a circular track of radius $R$ in $40s$. His displacement at the end of $2$ minutes will be
Question 67 :
An automobile traveling at $120\ km/hr$ was applied brakes and skids to stop in order to avoid hitting a deer. If the automobile had been traveling at $60\ km/hr$, how much faster would it has to be stopped?
Question 68 :
A 1,000 kg vehicle moving with a speed of $20\ ms^{-1}$ is brought to rest in a distance of 50 m. Find the acceleration.<br/>
Question 69 :
A car, starting from rest, accelerates at the rate $f$ through a distance $S$, then continues at constant speed for time $t$ and then decelerates at the rate $\frac{f}{2}$ to come to rest. If the total distance traversed is $15S$, then
Question 70 :
A student determined to test the law of gravity for himself walks off a sky scraper 320 m high with a stopwatch in hand and starts his free fall (zero initial velocity). 5 second later, superman arrives at the scene and dives off the roof to save the student. What must be superman's initial velocity in order that he can save the student. [Assume that the superman's acceleration is that of any freely falling body.] $(g\, =\, 10\, m/s^2)$
Question 71 :
A freely falling body from rest acquires velocity V falling through a distance h. After the body falls through a further distance h velocity acquired by it is<br/>
Question 72 :
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 73 :
Uniform linear motion is a/an _______ motion while uniform circular motion is a/an _______ motion. 
Question 74 :
A ball is thrown up under gravity $(g=10 m/sec^2)$. Find its velocity after 1.0 sec at a height of 10 m
Question 75 :
If a body projected up with a velocity $u$ rises to a height $h$, a body of double the mass projected with a double the velocity rises to a height of:
Question 76 :
State whether the following statements are true or false by writing T'F against them.<br/>The earth moves around the sun with a uniform velocity
Question 77 :
If the net force on a hot-air balloon is directed straight upward, which way does the acceleration point?
Question 78 :
A car starts from rest and accelerates uniformly over a time of $5.21$ seconds for a distance of $110$ m. Determine the acceleration of the car.<br/>
Question 79 :
When a body starts from rest, the acceleration of the body after 2 seconds is _____of its displacement.
Question 80 :
A body thrown vertically up to reach its maximum height in $t$ second. The total time from the time of projection to reach a point at half of its maximum height while returning (in second) is
Question 81 :
A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?<br/>
Question 82 :
A body is released from the top of the tower $H$ metrehigh. It takes $t$ second to reach the ground. Where is the body after ${t}/{2}$second of release ?
Question 83 :
The slope of the velocity time graph for retarded motion is
Question 84 :
A wooden block sliding down from the top of a smooth inclined plane starting from rest takes $t_{1}$ seconds to reach the bottom of the plane and attains velocity $v_{1}$. Another block of twice the mass falling freely in air from the same height takes $t_{2}$ seconds to reach the bottom of the plane and attains velocity $v_{2}$. If the angle of inclination of the plane is $30^{{0}}$,  then
Question 85 :
From street level, Superman spots Lois Lane in trouble. The evil villain, Lex Lutheor is dropping her from near the top of the Empire State Building. At the very instant, the man of steel starts upward at a constant acceleration to attempt a mid-air rescue of Lois. Assuming she was dropped from a height of $300\ m$ and the Superman can accelerate straight upward at $15\ m/s^2$. Determine how far Lois falls before he catches her.
Question 86 :
A ball is projected vertically upwards with a velocity of $25\; ms^{-1}$ from the bottom of a tower. A boy who is standing at the top of a tower sees it passes by him in the upward direction. He sees ball again at same height after $3$ sec when it is falling. Then the height of the tower is : $(g=10\;ms^{-2})$
Question 88 :
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 89 :
A body released from the top of a tower falls through half the height of the tower in $2  $ s. In what time shall the body fall through the height of the tower?
Question 90 :
Assertion: It is possible to accelerate even if you are travelling at constant speed.
Reason: In the uniform circular motion, even if the particle has the constant speed,  it has an acceleration.
Question 91 :
A stone fails from a balloon that is descending  at a uniform rate of $12\, ms^{-1}$. The displacement of the stone from the point of release after 10 sec is :-
Question 92 :
A truck of mass $5\times 10^3\ kg$ starting from rest travels a distance of $0.5\ km$ in $10\ s$ when a force is applied on it. Calculate the acceleration acquired by the truck
Question 93 :
<b>Statement 1:</b>Two balls of different masses are thrown vertically upward with same speed.They will pass through their point of projection in downward direction with the same speed.<br><b>Statement 2:</b>The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball
Question 94 :
The position is a particle along a straight line is denoted by the equation $x = 6 + 12 t - t^3$. (Here $x$ is in meter and $t$ is in second). The magnitude of acceleration of the particle when it is at rest is:-
Question 95 :
Two balls are dropped to the ground from different heights. One ball is dropped $2\ s$ after the other but both of them strike the ground simultaneously $5\ s$ after the first is dropped. The difference in the heights, when they are dropped is ($g=10\  m/s^2$)
Question 96 :
A ball is thrown from the top of a tower in vertically upward direction. Velocity at a point h metre below the point of projection is twice of the velocity at a point h metre above the point of projection. Find the maximum height reached by the ball above the top of tower.
Question 97 :
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 98 :
A pebble is dropped freely in a well from its top. It takes $20\ s$ for the pebble to reach the water surface in the well. Taking $g=10\ ms^{-2}$ and speed of sound $=330\ ms^{-1}$, find: (i) the depth of water surface from the top, and (ii) the time when echo is heard after the pebble is dropped?
Question 99 :
A stone is dropped from a rising balloon at a height of 300 m above the ground and it reaches the ground in 10 s. The velocity of the balloon when it was dropped is :<br/>
Question 100 :
Which of the following graphs should be used to represent the percentage of boys and girls in a class?
Question 101 :
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 102 :
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 103 :
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 104 :
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 105 :
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 106 :
What is the minimum height above the ground at which the rocketeer should catch the student?<br/>
Question 108 :
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 109 :
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 110 :
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 111 :
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.
Question 112 :
In the above question , the time after which the centres of gravity of the two bodies will have a separation $h$, is<br/>
Question 113 :
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 114 :
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 116 :
Find the average acceleration between points A and B at an angular separation of $60^{\circ}$<br>
Question 117 :
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 118 :
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 119 :
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 120 :
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 121 :
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 122 :
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 123 :
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 124 :
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 125 :
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 126 :
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 127 :
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 128 :
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 129 :
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 130 : <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 131 :
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 132 :
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 133 :
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 134 :
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 136 :
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 137 :
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 138 :
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 139 :
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 140 :
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 142 :
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 143 :
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 144 :
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 145 :
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 146 :
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? $(g = 10m/s^2)$
