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Question

A person sitting at the rear end of the compartment throws a ball towards the front end. The ball follows a parabolic path. The train is moving with uniform velocity of 20 ms−1. A person standing outside on the ground also observes the ball. How will the maximum height (hm) attained and the ranges (R) seen by the thrower and the outside observer compare each other?

A
same hm different R
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B
same hm and R
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C
different hm same R
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D
different hm and R
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Solution

The correct option is A same hm different R
The motion of the train will affect only the horizontal component of the velocity of the ball while the vertical component will remain same for the observer standing outside.
Since
Maximum height, hm=u2sin2θ2g=u2y2g
Horizontal range, R=u2sin2θg=2uxuyg
Since uy remains constant and ux varies, therefore hm will be same, but R will be different.

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