Question

A train is moving on a track at $30$ $m{s}^{-1}.$ A ball is thrown with a speed of $30$ $m{s}^{-1}$ at ${45}^{\circ }$ with horizontal. Find the distance in the plane of motion of the train, of the ball from the point of projection on the train to the point where it strikes the ground.

• A. $90m$
• B. $90\sqrt{3}$ $m$
• C. $60m$
• D. $60\sqrt{3}$ $m$

Answer 1

The correct option is A $90m$

The horizontal range $R=\frac{u^2\sin 2\theta }{g}=\frac{(30{)}^2\sin 90}{10}=90$ m
(As we measure the distance with respect to the frame of train so velocity of train will not effect on the distance )