Hi I was starting a total distance problem and got stuck.
The acceleration of an object is given by a(t) =6sin(t) with initial velocity of -9.5. Find the total distance the object travels on the interval [0, pi] to the nearest integer.
I know to take the integral and solve for velocity. I got the equation v(t) = -6cos(t) - 3.5. Firstly, is that right? and secondly How do I continue from there?