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A particle of mass'm' is projected with ...

A particle of mass`'m'` is projected with velocity `v_(0)` at an angle `'alpha'` with the horizontal. The coefficient of restitution for any of its impact with the smooth ground is `e`.

Find total time taken by the particle before it stops moving vertically?

Text Solution

Verified by Experts

Total time taken by the particle to stop
`T=(2"v"_(0)sinalpha)/(g)+(2"ev"_(0)sinalpha)/(g)+(2"e"^(2)"v"_(0)sinalpha)/(g)+......`
`=(2"v"_(0)sinalpha)/(g)(1+e+e^(2)+...)" "=(2"v"_(0)sinalpha)/(g(l-e))`
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