A child wanders slowly down a circular staircase from the top of a tower. With x, y, z in feet and the origin at the base of the tower, her position t minutes from the start is given by x = 10 cos t, y = 10 sin t, z = 80 – 5t. (a) How tall is the tower? height = 80 ft (b) When does the child reach the bottom? time = 16 minutes (c) What is her speed at time t? speed = 11.18 ft/min (d) What is her acceleration at time t? acceleration = ft/min?

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