A boy is playing with a rope tied to a tree near his favourite swimming hole (Figure 7-43). Initially the boy is stationary and the rope (of length 3.7 m) makes an angle of 45" with the vertical. He then lifts his feet slightly and starts to swing freely. If air resistance is neglected, use conservation of energy to determine (a) his speed at the bottom of the swing Type your answer here m/s (b) the maximum height, to which he can swing Type your answer here m