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 = 20 cos t, y = 20 sin t, z = 110 – 5t. (a) How tall is the tower? height = ft (b) When does the child reach the bottom? time = minutes (c) What is her speed at time t? speed = ft/min (d) What is her acceleration at time t? acceleration = ft/min?
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 = 20 cos t, y = 20 sin t, z = 110 – 5t. (a) How tall is the tower? height = ft (b) When does the child reach the bottom? time = minutes (c) What is her speed at time t? speed = ft/min (d) What is her acceleration at time t? acceleration = ft/min?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.1: Using Fundamental Identities
Problem 67E
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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=20cost, y=20sint, z=110−5t.
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