Question

A person sitting in the rear end of the compartment throws a ball towards the front end. The ball follows a parabolic path. The train is moving with velocity of 20 m/s. A person standing outside on the ground also observes the ball. How will the maximum heights ($Y_{m}$) attained and the ranges (R) seen by the thrower and the outside observer compare with each other?
(a) Same $Y_{m}$ different R
(b) Same $Y_{m}$ and R
(c) Different $Y_{m}$ same R
(d) Different $Y_{m}$ and R

Answer 1

same maximum height but different range

Answer 2

Answer:

a) Same Ym different R

Explanation:

The person who is sitting inside the train, will observe the vertical motion as the object and the person both are moving with same velocity in the horizontal direction.  

For the person outside the rain path would be parabolic in nature as the person outside the train is still, but the object has a constant horizontal velocity and varying vertical velocity. The motion of the train will affect only the horizontal component of the velocity of the ball. Since, vertical component is same for both the observers, the ym will be same, but R will be different.