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Question

A student is standing on a train travelling along a straight horizontal track at a speed of 10 m/s. The student throws a ball into the air along a path, that he sees to make an initial angle of 60 with the horizontal along the track. The professor standing on the ground observes the ball to rise vertically, the maximum height reached by the ball is

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Solution

Vbtcos60=10
Vbtsin60=Vbg

The direction in which the ball is thrown is independent, because the ball will reach the same height for every direction.

Vbg=103
H=V2bg2g=100×320=15 m

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