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An elastic sphere is dropped from a heig...

An elastic sphere is dropped from a height of 4 m upon a fixed horizontal plane. If coefficient of restitution be 0.8 and and value of g = 9.8 m/s, then

A

total distance covered by the particle before it has finished rebounding is 13 m.

B

total distance covered by the particle before it has finished rebounding is `~~` 18 m.

C

duration for which the sphere rebounds is `~=` 8 s

D

duration for which the sphere rebounds is `~=` 3 s

Text Solution

Verified by Experts

The correct Answer is:
B, C
`s=h+2e^(2)h+2e^(4)h+…+`
`T=sqrt((2h)/(g))+2e sqrt((2h)/(g))+2e^(2)sqrt((2h)/(g))+…`
`therefore` (B) & (C )
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