List of top Physics Questions on Motion in a plane asked in Rajasthan PMT

A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle of $ 30{}^\circ $ with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground? $ (g=10\,m/{{s}^{2}},\,\sin {{30}^{o}}=1/2,\,\cos {{30}^{o}}=\sqrt{3}/2) $

A ball is thrown from a point with a speed $ {{v}_{0}} $ at an angle of projection $ \theta $ . From the same point and at the same instant, a person starts running with a constant speed $ \frac{{{v}_{0}}}{2} $ to catch the ball. Will the person be able to catch the ball If yes, what should be the angle of projection?

A body is moving in a circular path with acceleration $a$. If its velocity gets doubled, find the ratio of acceleration after and before the change :