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The deceleration experienced by a moving...

The deceleration experienced by a moving motorboat, after it's engine is cut of 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 velocity at time t after cut off is

A

`v_0/2`

B

`v_0`

C

`v-0 e(-kt)`

D

`v_o/sqrt ((v_o)^2 kt + l)`

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The correct Answer is:
D
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