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Questions  

An object, moving with a speed of 6.25 m/s, is declerated at a rate given by, dvdt=2.5v where v is the instantaneous speed. The time taken by the
object, to come to rest would be

a
2 s
b
4 s
c
8 s
d
1 s

detailed solution

Correct option is A

Given ;dvdt=2.5v⇒ dvv=−2.5dt⇒ ∫6.260 v−1/2dv=−2.5∫0t dt⇒ −2.5[t]0t=2v1/26.250t = 2 s

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