The speed of a pendulum is shown as a function of time $($in units of $t_0).($a$)$ Resketch the plot if we double the amplitude but cut the length of the pendulum in half. What is the maximum speed? What is the frequency of oscillations? $($b$)$ Now resketch it if we instead just move the pendulum to a planet where you weigh twice as much. What is the maximum speed in this case? What is the frequency of oscillations?