Chapter 6, Problem 5RE

An oscillator The acceleration of an object moving along a line is given by $a(t)=2\sin \left(\frac{\pi t}{4}\right)$. The initial velocity and position are $v(0)=-\frac{8}{\pi }$ and s(0) = 0.

1. a. Find the velocity and position for t ≥ 0.
2. b. What are the minimum and maximum values of s?
3. c. Find the average velocity and average position over the interval [0, 8].