I'm stuck on how to get the proper notation for this problem.

In physics, we know that Force= Mass x acceleration, or F=ma

In this case, the force is equal to $\displaystyle (<S>A)/c * cos(theta)$

So i'm looking at $\displaystyle ((<S>A)/c * cos(theta))/m = a$

BUT, I need to velocity as a function of time, v(t).

Basically, what would a formula for $\displaystyle v(t)=$ look like?