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Question

A body moves according to the formulav=1+t2 where v is the velocity at time t. The acceleration after 3sec will be (vincm/sec)


A

24cm/sec2

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B

12cm/sec2

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C

6cm/sec2

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D

None of these

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Solution

The correct option is C

6cm/sec2


Step 1. Given data

Velocity is v=1+t2 wheret is time

Step 2. Finding acceleration

Acceleration is given by

a=dvdt=d(1+t2)dt=2t

At t=3sec acceleration will be

a=2×3=6cm/s2

Hence, option C is correct.


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