The acceleration of an object moving along a line is given by a(t) = 2 sin(t/4). The

The acceleration of an object moving along a line is given by a(t) = 2 sin(πt/4). The initial velocity and position are v(0) = -8/π and s(0) = 0.

a. Find the velocity and position for t ≥ 0.

b. What are the minimum and maximum values of s?

c. Find the average velocity and average position over the interval [0, 8].