the period of sin(kt) is 2π/k
So, since your k here is π/20, the period is (2π)/(π/20) = 40 seconds.
the height of the wheel does not depend on when the riders embark...
However, the height at the top is the center-line (12) + the amplitude (9)
Ahh. I think you must mean the height of the car when the riders embark at t=15. Well, just substitute t=15 into the function and evaluate h(15).
The height of a person above the ground on a Ferris wheel is given by the function h(t)=9 sin {pi/20 (t- pi/2))+ 12 where h(t) is the height in meters of person t seconds after getting on
a) how long does it take the Ferris wheel to make one complete revolution
b)what is the height of the ferris wheel if the riders get on at 15s
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