Motion PYQs - Last 10 Years

From the same point, two stones A and B are thrown simultaneously, A is thrown up vertically with a velocity of $10 \mathrm{~ms}^{-1}$ and $B$ is thrown up with the same velocity at $30^{\circ}$ with the horizontal. The separation between t...

A car, starting from rest, accelerates at a rate of $\beta$ through a distance S , then continues at constant speed for time t and then decelerates at a rate of $\frac{\beta}{2}$ to come to rest. If the total distance travelled is $10 S$, t...

A particle moves along a parabolic path $y=9 x^2$ in such a way that the x component of velocity remains constant. If, the acceleration of the particle is $2 j m s^{-2}$, find the x component of velocity.

A boy, standing at a certain height, kicks a football horizontally with a velocity of $19.6 \mathrm{~ms}^{-1}$. What will be the ratio of horizontal and vertical components of velocities after $2 s$ ?

An object is dropped from a certain point A at a height ' h ' from the ground. During it's journey straight downwards, the object passes points $B$ and $C$ such that the ratio of time taken $t_1$ to cover $A B$ and $t_2$ to cover $B C$ is $...

A particle moves towards west with a velocity of $10 \mathrm{~ms}^{-1}$. After 10s its direction changes towards south and it moves with the same velocity. The average acceleration of the particle is:

Select the graph which represents the motion of a particle along a straight line with uniform acceleration.

A boy is running along a straight horizontal road with a constant speed $5 \mathrm{~ms}^{-1}$. While running he throws a stone with a velocity $30 \mathrm{~ms}^{-1}$ at an angle $60^{\circ}$ with the horizontal. Then the time of flight of t...

A gun is used to fire a bullet at an angle of $30^{\circ}$ and at $60^{\circ}$ respectively. The ratios of heights and Ranges reached by the bullet are

A car, starting from rest, accelerates at the rate (f) through a distance ( $S$ ), then continues at constant speed for some time $(t)$ and then decelerates at the rate $\frac{f}{2}$ to come to rest. If the total distance is $5 S$, then

When two objects are moving along a straight line in the same direction, the distance between them increases by \(6 \mathrm{~m}\) in one second. If the objects move with their constant speed towards each other the distance decreases by $$8 ...

A cricketer of height \(2.5 \mathrm{~m}\) throws a ball at an angle of \(30^{\circ}\) with the horizontal such that it is received by another cricketer of same height standing at a distance of \(50 \mathrm{~m}\) from the first one. The maxi...

The graph of an object moving with speed v for a time t is shown below.

The graph that shows the distance s travelled by the same object for a time t is

Two balls are thrown horizontally, one from the window of first floor which is \(3 \mathrm{~m}\) high from the ground and second from the second floor which is \(6 \mathrm{~m}\) high from the ground, of a multi storey building, with the sam...

A drone is flying due west, a little above the train, with a speed of \(10 \mathrm{~m} / \mathrm{s}\). A 270 meter long train is moving due east at a speed of \(20 \mathrm{~m} / \mathrm{s}\). The time taken by the drone to cross the train i...

The nucleus of a helium atom travels along the inside of a straight hollow tube \(4 \mathrm{~m}\) long which forms part of a particle accelerator. If one assumes uniform acceleration, how long is the particle in the tube if it enters at a s...

A ball is projected horizontally with a velocity of \(5 \mathrm{~ms}^{-1}\) from the top of a building \(19.6 \mathrm{~m}\) high. How long will the ball take to hit the ground?

A car starts from rest and accelerates uniformly to a speed of \(180 \mathrm{~kmh}^{-1}\) in \(10 \mathrm{~s}\). The distance covered by the car in this time interval is

A body is projected vertically upwards. The times corresponding to height \(h\) while ascending and while descending are \(t_1\) and \(t_2\), respectively. Then, the velocity of projection will be (take, \(g\) as acceleration due to gravity...

A car is moving with a speed of 54 km/h. If after 3 s, the driver applies brakes and it stops, then how much distance is covered by the car before coming to rest?

Two guns P and Q can fire bullets at speeds 2 km/s and 4 km/s, respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum or areas covered by the bullets fired by the two guns, on the ...

The displacement \(x\) of a particle in a straight line motion is given by \(x=1-t-t^2\). The correct representation of the motion is

The angle of projection with the horizontal in terms of maximum height attained and horizontal range is given by

The displacement \(x\) of a particle varies with time \(t\), \(x=ae^{-pt}+be^{qt}\), where a, b, p and q are positive constant. The velocity of the particle will

Which graph shows the correct \(v\) - \(x\) graph of a freely falling body?

A particle shows distance-time curve as given in
this figure. The maximum instantaneous
velocity of the particle is around the point

A body is projected vertically upwards. The
times corresponding to height \(h\), while
ascending and while descending are \(t_1\) and \(t _2\) ,
respectively. Then, the velocity of projection is
(\(g\) is acceleration due to gravity)