(a(i))[1]
State two times when the speed of the ball is a maximum.
(a(ii))[2]
Show that the ball’s maximum speed is about $0.08\,\text{m s}^{-1}$.
(b(i))[2]
Fig. 3.3 shows how the potential energy $E_p$ of the ball’s oscillations varies with displacement $x$. On the axes in Fig. 3.3, sketch a graph to show how the kinetic energy of the ball varies with displacement $x$.
(b(ii))[2]
Over a long time, the amplitude of the oscillations decreases. After many oscillations, the amplitude is $0.60\,\text{cm}$. Use Fig. 3.3 to determine the total energy of the ball’s oscillations when the amplitude is $0.60\,\text{cm}$. Show how you arrive at your answer.