8. You are sitting on a boat looking at a ball rolling back and forth on a table as the boat rocks. The position of the ball is r(t) = a sin(wt), where a = 1.0 cm and w=0.2 s. (a) How long must you wait for the ball to return to its initial position? (b) What is the velocity of the ball at t = 1 s O (c) What is the velocity of the ball at t = 15 s O (d) At what times does the ball move the fastest? O (e) At what times does ball reach its maximum acceleration? (f) When is the ball stationary (i.e., v = 0)? O(g) (Extra Credit) Estimate the size of the waves that are making the boat rock. (This will require you to make some assumptions, state them clearly)