Q.

The deceleration experienced by a moving motorboat, after its engine is cut – off is given by dυdt=kυ3 , where k  is constant. If υ0  is the magnitude of velocity at cut – off, the magnitude of velocity at time 't'  after the cut – off is:

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a

υ02

b

υ0

c

υ0ekt

d

υ02υ02kt+1

answer is D.

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Detailed Solution

dυdt=kυ3

  υ0υdυυ3=0tkdt

  12[1υ21υ02]=kt

 υ=υ02υ02kt+1 

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