Question

Derive an equation d = acos(bt) for the displacement d (in feet) in relation to sea level of a piece of cloth tied to a water wheel over t seconds. Assume the water wheel is half-submerged and takes 24 seconds to complete one turn. At t = 0 seconds, the cloth is at a height of 10 feet above sea level, its maximum displacement from the surface of the water.
Find the values of a and b.

Answer 1

Answer:

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Step-by-step explanation:

a=10

b=pi/12

d=10cos(pi/12t)

t=6

d=5