What should be the minimum initial velocity of ball u (in m/s) with which it must be thrown such that it just reaches the ceiling of room after impact from the floor.

Engineering

Physics

Collision

Question

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$v = \sqrt{u^{2} + 2 g (h)}; ev = \sqrt{2 g (5)}$

$\frac{1}{4} v^{2} = 100; v^{2} = 400; v = 20$

400 = u² + 2gh
400 = u² + 20 h and h = 3.8 m
u² = 324 ⇒ u = 18

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