Trouble finding velocity equation

[jjlandis]

Homework Statement

The problem given has a(t) = C*t where C is a constant and equals 1.2 m/s^3 and t is time. It says velocity after 1.0 second is 5.0 m/s. The question is, what is the velocity after 3.6 seconds. I don't know if I can integrate to get the velocity equation or not. Please help.
Thanks!

Homework Equations

a(t) = C*t

The Attempt at a Solution

I tried to integrate to get the velocity equation from the acceleration equation given and solving from there but was not the right answer.

 

[rl.bhat]

Find integration. Using the value of velocity( 5m/s) and time(1s) find the constant of integration. Repeat the integration for 3.6s and put the calculated constant of integration to get the final answer.

 

[jjlandis]

Thank you for the help. I believe I was leaving out the constant that is added to the equation when integrating. Thanks again!