10) A ship that is docked in a harbour rises and falls with the waves. \text { The function } h(t)=\sin \left(\frac{\pi}{5} t\right) \text { models the vertical movement of the ship, h meters at } t \text { seconds. } a) How long does it take for the ship to go through one cycle of rising and falling ? b) Determine the average rate of change of height of the ship over the first 5 seconds. c) Estimate the instantaneous rate of the change of the height of the ship at 6 seconds