Exercise (Conceptual Questions)

The coordinates of a particle moving in $xy$ plane vary with time as $\sqrt{x}=at; y=b{t}^2.$ The locus of the particle is:

Two paper screens A and B are separated by a distance of $100 m$. A bullet pierces A and then B. The hole in B is $10 cm$ below the hole in A. If the bullet is travelling horizontally at the time of hitting the screen A, calculate the velocity of the bullet when it hits the screen A. Neglect the resistance of paper and air.

A train moves in north direction with a speed of $54 {\mathrm{km} \mathrm{h}}^{-1}$. A monkey is running on the roof of the train, against its motion with a velocity of $18 \mathrm{km} {\mathrm{h}}^{-1}$, with respect to train. The velocity of monkey as observed by a man standing on the ground is:

A tennis ball is dropped on the floor from a height of $20 \mathrm{m}$. It rebounds to a height of $5 \mathrm{m}$. The ball was in contact with third floor for $0.01 \mathrm{s}$. What was its average acceleration during the contact ? $(g=10 \mathrm{m} {\mathrm{s}}^{-2})$

A boy sitting on the upper berth in the compartment of a train, which is about to stop at a railway station, drops an apple aiming at the open hand of his brother vertically below his hands at a distance of about $2 \mathrm{m}.$ The apple will fall:-

A stone tied to the end of a string $1m$ long is whirled in a horizontal circle with constant speed. If the stone makes $22$ revolutions in $44 s$, what is the magnitude and direction of acceleration of the stone?

A body tied to astring of length L is revolved in a vertical circle with minimum velocity, when the body reaches the upper most point the string breaks and the body moves under the influence of the gravitational field of earth along a parabolic path. The horizontal range AC of the body will be :-
                

A mass tied to a string moves in a vertical circle with a uniform speed of $5 \mathrm{m} {\mathrm{s}}^{-1}$ as shown. At the point $P$ the string breaks. The mass will reach a height above P of nearly ($g=10 \mathrm{m} {\mathrm{s}}^{-2}$)