A classical mechanics problem by Vikram Singh

A ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 2s later, at distance = 24m from the building.

What is the maximum height the ball can reach?

4 m 6 m 7.2 m 3.2 m

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1 solution

Syed Imad Azeem
Apr 21, 2014

Horizontal component of velocity = Vcos(45)
Horizontal distance covered in 2s is 24m
therefore as horizontal component is constant then :-
V cos(45)=24/2
V=16.97 m/s
For vertical motion
V^2=U^2+2gh
(V sin45)^2=2(10)h
h=7.2m

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