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The acceleration a of a body, starting f...

The acceleration a of a body, starting from rest varies with time t following the cquation a= 3t + 4. The velocity of the body at timet =2 s will be

A

`10 m s^(-1)`

B

`18 ms ^(-1)`

C

`14 ms^(-1)`

D

`26 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`a=3t+4or (dv)/(dt)=3t+4or intdv=int(3t+4)dt`
or `nu=(3)/(2)t^(2)+4t=(3)/(2)xx2^(2)+4xx2" " `[At t=2s ]
=6+8 =14 m/s.
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