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The deceleration exerienced by a moving ...

The deceleration exerienced by a moving motor blat, 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)`

B

`(v_(0))/(2)`

C

`v_(0)e^(-kt)`

D

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

Text Solution

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The correct Answer is:
D
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