a). The acceleration of a function a(t) (in m/s^2) and the initial velocity v(0) are given for a particle moving along a line.

a(t) = 2t + 5. 0 < t<3

v(0) = -6

Find the velocity v(t) at time (t).

b) The acceleration function a(t) (n m/s^2) and the initial velocity v(0) are given for a particle moving along a line.

a(t) = 2t + 5. 0 < t<3

v(0) = -6

*note: It's less than or equal to, not just less than

Find the total distancedtraveled during the time interval.

My question is once you integrate the expression, do you just solve what t is? Or is there more to it?