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with what speed must a ball be thrown down for it to bounce 10 m higher than its original level? assume that no enegry loss in striking the ground.

with what speed must a ball be thrown down for it to bounce 10 m higher than its original level? assume that no enegry loss in striking the ground.

Grade:11

1 Answers

Khimraj
3007 Points
6 years ago
Let intial speed is v and initial height of bounce is h
½mv2 = mgh    – (1)
h = v2/2g
Let required velocity be V, then
½mV2 = mg(h+10)  – (2)
dividing equation (2) by (1)
V2/v2 = 1 + 10/h
V2 = v2 + (v2)(10*2g/v2)
V2 = v2 + 200
V = (v2 + 200)1/2 
Hope it clears.

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