Motion - Mechanics - Physics Previous Year Questions

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)

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

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

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?

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

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 ground is

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 speed of \(2000 \mathrm{~m} / \mathrm{s}\) and leaves at \(8000 \mathrm{~m} / \mathrm{s}\)

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 is

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 same speed of \(6 \mathrm{~ms}^{-1}\). Calculate the distance that will separate the two balls when they hit the ground.

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 maximum height attained by the ball is (\(\tan 30^{\circ}=0.577\))

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 \(8 \mathrm{~m}\) in one second, then the speed of the objects are :

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 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)