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The deceleration experienced by a moving...

The deceleration experienced by a moving motor boat, after its engine is cut-off is given by `dv//dt=-kv^(3)`, where `k` is constant. If `v_(0)` is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time `t` after the cut-off is.

A

`v_(0)/(2ktv_(0)^(2))`

B

`v_(0)/(1+2ktv_(0)^(2))`

C

`v_(0)/(sqrt(1-2kv_(0)^(2)))`

D

`v_(0)/(sqrt(1+2ktv_(0)^(2)))`

Text Solution

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The correct Answer is:
D
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