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If a=(3t^2+2t+1) m/s^2 is the expression...

If `a=(3t^2+2t+1)` `m/s^2` is the expression according to which the acceleration of a particle varies. Then-
`a=(3t^2+2t+1)` `(m)/(s^2)`
Q. The expression for instantaneous velocity at any time `t` will be (if the particle was initially at rest)-

A

`t^(3)+2t+1`

B

`t^(3)+t+1`

C

`t^(3)+t^(2)+1`

D

`t^(3)+t^(2)+t+C`

Text Solution

Verified by Experts

The correct Answer is:
C
`a=3t^(2)+2t+1`
`underset(0)overset(1)intdv=underset(0)overset(1)int3t^(2)+2t+1dt , v=t^(3)+t^(2)+t`
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