Achild 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=30cost, y=30sint, z=110−5t. (a) how tall is the tower? height = 110 ft (b) when does the child reach the bottom? time = 22 minutes (c) what is her speed at time t? speed = 5*sqrt(37) ft/min (d) what is her acceleration at time t? acceleration = sqrt(30^2(cos(t)^2i+sin(t)^2j)) ft/min2