a) In which case, the small-amplitude oscillations or the large-amplitude oscillations, does the cart have a larger average speed?
b) Obviously, the bigger the amplitude, the more distance the cart covers each oscillation. Using this fact, along with your part (a) answer, explain conceptually why the period is the same no matter what the amplitude is (for simple harmonic motion).

Question

a) In which case, the small-amplitude oscillations or the large-amplitude oscillations, does the cart have a larger average speed?
b) Obviously, the bigger the amplitude, the more distance the cart covers each oscillation. Using this fact, along with your part (a) answer, explain conceptually why the period is the same no matter what the amplitude is (for simple harmonic motion).