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If retardation produced by air resistanc...

If retardation produced by air resistances to projectile is one-tenth of acceleration due to gravity, the time to reach maximum height approximately-

A

Decreases by 11 percent

B

Increases by 11 percent

C

Decreases by 9 percent

D

Increases by 9 percent

Text Solution

Verified by Experts

The correct Answer is:
C
Without air resistance.
`I_(0) = (u sin alpha)/g`…… (i)
with air resistance.
`t_(1) = (u sin alpha)/(g + a) = (u sin alpha)/(g + g/10) = (10/11) (u sin alpha)/g`….. (ii)
`t_(1) = 10/11 t_(0) rArr t_(0) - t_(1) = 1/11 t_(0) = 0.09 t_(0)`
`rArrr (t_(0) - t_(1))/t_(0) = 0.09`
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