Question 2 :
A car is moving with speed $2 m/s$ crosses a electric post and starts accelerating at a constant rate of $2m/s^2$. How far past the electric post will the car be after 3 s?
Question 4 :
The slope of velocity-time graph for particle moving with uniform velocity is equal to
Question 5 :
Which of the following is an example of uniform circular motion?
Question 6 :
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 7 :
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 8 :
If a ball thrown vertically up attains a maximum height of 80m, its initial speed is$\displaystyle ( g ={ 10\quad ms }^{ -2 } )$.
Question 9 :
If the body is moving in a circle of radius $r$ with a constant speed $V$, its angular velocity is
Question 10 :
Which one of the following is most probably not a case of uniform circular motion?
Question 11 :
An astronaut orbiting the earth in a circular orbit $120 km$ above the surface of earth, gently drops a ball from the spaceship. The ball will:<br/>
Question 12 :
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 13 :
(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 14 :
State whether true or false.<br/>A particle rotating in a circular path may have constant speed but velocity changes continuously.
Question 15 :
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 16 :
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 17 :
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 18 :
 (1):In uniform circular motion, tangential acceleration is zero.(2) : In uniform circular motion, velocity is constant.<br/>
Question 19 :
A particle is moving along a circle with uniformspeed. The physical quantity which is constantboth in magnitude and direction, is<br>
Question 21 :
The only property that does not change in a uniform circular motion is
Question 22 :
A ball is shot vertically upward with a given initial velocity. It reaches a maximum height of $100$m. If on a second shot, the initial velocity is doubled then the ball will reach a maximum height of.
Question 23 :
A particle moves in a circle describing equal angle in equal times, its velocity vector
Question 24 :
In uniform circular motion, the velocity vector and acceleration vector are:
Question 25 :
In uniform circular motion, the factor that remains constant is :
Question 26 :
Fill in the blank. The moon moves in ________ around the earth. 
Question 27 :
In a uniform circular motion, the magnitude and direction of velocity at different points remain the same.
Question 30 :
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 31 :
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 32 :
It is possible for a body to move in a circular path with uniform speed as long as it is travelling
Question 33 :
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 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 35 :
A car accelerates on a horizontal road due to the force exerted by
Question 38 :
In a uniform linear motion which of the following quantities remains zero?
Question 39 :
The velocity of a body depends on time according to the equation v=$\frac{t^2}{10} + 20$. The body is undergoing
Question 40 :
Is it possible to have an accelerated motion with a constant speed? Name such type of motion.<br>
Question 41 :
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 42 :
During the sharpening of a knife with the help of a grind stone, the direction of motion of sparks is:<br/>
Question 43 :
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 44 :
A cyclist moving on a circular track, exhibiting uniform circular motion moves with
Question 46 :
The total energy of a particle that moves along a circular path in vertical plane is:<br/>
Question 47 :
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 48 :
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 49 :
A stone tied to a string is whirled in a circle. As it is revolving, the string suddenly breaks. The stone then
Question 50 :
A truck and a car are moving with equal velocity. On applying brakes, if both decelerate at the same rate,what happens?
Question 51 :
A block of mass $m\ kg$ is kept on a weighing machine in an elevator. If the elevator is retarding upward by $a\ m{s^{ - 2}}$ the reading of weighing machine is (in $kgf$):
Question 52 :
A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at  $2\ m/ s^{2}$ . He reaches the ground with a speed of $ 3\ m/ s$ .  At what height, did he bail out ? (Given $g=9.8\ m/s^2$ approximately)<br/>
Question 53 :
Uniform constant retarding force is applied in order to stop a truck. If its speed is doubled then the distance travelled by it will be
Question 54 :
A particle moves along a circle of radius $2\ m$ with a constant speed of $8\ m/s$. It covers the quarter of circle in sec?
Question 55 :
A stone is thrown in vertically upward direction with a velocity of $5\ ms^{-1}$. If the acceleration of the stone during its motion is $10\ ms^{-2}$ in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?<br/>
Question 56 :
A body, projected vertically up with a velocity of $20\;ms^{-1}$, reaches a height of $20\;m$. If it is projected with a velocity of $40\;ms^{-1}$, then the maximum height reached by the body is:
Question 57 :
Whenever an object moves with a constant speed, its distance - time graph is a
Question 59 :
A body, initially at rest, starts moving with a constant acceleration $2 m{s}^{-2}$. Calculate the distance travelled in 5 s.
Question 60 :
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 61 :
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 62 :
A ball released from a height $h$, touches the ground in $t$ seconds. After $t/2$ seconds since dropping, the height of the body from the ground is :
Question 63 :
A particle is moving along a circular path of radius $5\ m$ with a uniform speed $5\ ms^{-1}$. What will be the average acceleration when the particle completes half revolution?
Question 64 :
When a particle moves in a circle with a uniform speed<br><br>
Question 66 :
A stone is dropped from the top of tall tower and after $1$ second another stone is dropped from a balcony $20$ m below the top. If both the stones reach the ground at the same instant, then height of the tower is:
Question 67 :
A smooth wooden plank is kept inclined to avertical wall such that a body left at its top takesminimum time to reach the bottom. If the footof the plank is at a horizontal distance of 19.6 m from the wall, the minimum time is
Question 68 :
A spaceship rotating around earth with a constant speed experiences acceleration towards<br/>
Question 69 :
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion takes place in a plane. It follows that:<br/>
Question 70 :
A car is travelling at a certain speed. Its final velocity reaches 40 m/s in 10 seconds accelerating at the rate of 2.5 m/s$\displaystyle ^{2}$. Find the initial velocity of the car.
Question 71 :
A ball dropped from a point $P$ crosses a point $Q$ in $t$ seconds. The time taken by it to travel from $Q$ to $R$, if $PQ = QR$, is:
Question 72 :
The displacement $x$ of a particle varies with time $t$ as $x=a{ e }^{ -\alpha t }+b{ e }^{ \beta t }$, where $a,  b,  \alpha $  and  $\beta$ are positive constants. The velocity of the particle will
Question 73 :
If a ball is dropped from rest, it will fall 20m during the first two seconds. How far will it fall during the third and fourth seconds?
Question 74 :
The parameters for a particle that describe a uniform circular motion and a uniform velocity motion in a straight line are given below. Which one of them will you use to distinguish their motions
Question 75 :
A particle undergoes uniform circular motion. The velocity and angular velocity of the particle at an instant of time is $ v =3i + 4 jm/s$ and $\overrightarrow{\omega} = xl + 3j$ rad / sec then
Question 76 :
The formula $v=R\omega$ relating linear and angular velocity is true, only if
Question 77 :
A particle of mass m is tied to a string of length L. The free end of the string is fixed and the particle is whirled in a circular path. The speed of the particle increases from 5 m/s to 10 m/s for 5 secs. The motion is
Question 78 :
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 79 :
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 80 :
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 81 :
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 82 :
A ball is dropped downwards, after $1$ sec another ball is dropped downwards from the same point. What is the distance between them after $3$ sec? (Take $g=10ms^{-2}$)
Question 83 :
A particle moves on the $x-$ axis. When the particle's acceleration is positive and increasing then
Question 84 :
The velocity of a body which starts from rest with an acceleration $2\ ms^{-2}$ and covering a distance of $10\ m$ in $ms^{-1}$ is:<br/>
Question 85 :
A car runs at constant speed on a circular track of radius 100 m taking 62.8 s on each lap. What is theaverage speed and average velocity on each complete lap? $(\pi\, =\, 3.14)$
Question 86 :
A ball is thrown vertically upwards with a speed of $10\ ms^{-1}$ from the ground at the bottom of a tower $200$ $m$ high. Another is dropped vertically downward simultaneously, from the top of a tower. If $g=10\ ms^{-2}$ the time interval after which the projected body will be at the same level as the dropped body is:
Question 87 :
An object is thrown vertically upward with a speed of $30m/s$. The velocity of the object half a second before it reaches the maximum height is
Question 88 :
A balloon starts from rest, moves vertically upwards with an acceleration $\dfrac{g}{8}\ \text{ms}^{-2}$. A stone falls from the balloon after $8\ \text{s}$ from the start. The time taken by the stone to reach the ground  is $\left(g=9.8\ \text{ms}^{-2}\right)$:
Question 89 :
A body is revolving with a constant speed along a circle .If its direction of motion is reversed but the speed remains the same. Then,
Question 90 :
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 91 :
The two ends of a train moving with constant acceleration pass a certain point with velocities $u$ and $v$. The velocity with which the middle point of the train passes the same point is
Question 92 :
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 93 :
A car accelerates from rest at a constant rate $\alpha$ for some time after which it decelerates at a constant rate $\beta$ to come to rest. If the total time elapsed is $t$, the maximum velocity acquired by the car is given by<br>
Question 96 :
The length of a seconds hand in watch is $1$ $cm$. The change in velocity of its tip in $15\ s$ is<br>
Question 97 :
When a body moves in an uniform circular motion,changes in velocity and speed will be
Question 98 :
A $ 210 $ meter long train is moving due North at a of $ 25\,m/s $ . A small bird is flying due South a little above the train with speed $ 5\,m/s $. Thetime taken by the bird to cross the train is
Question 99 :
<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 100 :
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 102 :
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 103 :
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 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 107 :
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 108 :
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 109 :
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 110 :
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 111 :
Find the average acceleration between points A and B at an angular separation of $60^{\circ}$<br>
Question 112 :
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 113 :
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 114 :
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 115 :
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 116 :
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 117 :
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 118 :
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 119 :
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 120 :
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 121 :
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 122 :
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 123 :
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 124 :
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 125 :
In the above question , the time after which the centres of gravity of the two bodies will have a separation $h$, is<br/>
Question 126 :
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 127 :
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 128 :
What is the minimum height above the ground at which the rocketeer should catch the student?<br/>
Question 129 :
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 130 :
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 131 :
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 133 :
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 134 :
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 135 :
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 136 :
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 137 :
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 138 :
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 139 :
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 140 : <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 141 :
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 142 :
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 143 :
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 144 :
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 145 :
A ball is thrown upward with an initial velocity of $\displaystyle 100\ ms^{-1}.$ After how much time will it return to the ground.
