A body is moving from rest with an acceleration `a` `m`.`s^(-2)` which is related to time t s by `a = (3t +4)`. What will be its velocity in time 2 s?

Explanation

Acceleration of the body ,
`a = (dv)/(dt) = (3t+4) m//s^(2)`
At t = 2 s the velocity of the body,
`v = int_(0)^(2)(3t+4)dt=[(3t^(2))/(2)+4t]_(0)^(2)=14 m//s`