Consider a simple pendulum that has a length of 50 cm and a maximum horizontal displacement of 8 cm. a) Find the maximum velocity of the bob and the time at which it first occurs.
b) Find the maximum acceleration of the bob and the time at which it first occurs.
c) Determine the times at which
i) the displacement equals zero
ii) the velocity equals zero
iii) the acceleration equals zero
d) Describe how the answers in part c) are related in terms of when they occur. Explain Why these results make sense.