SOLUTION: A group of teenagers near a wind turbine decide to place a pair of pink shoes on the tip of one blade. They notice that the shoes are at its maximum height of 16 meters at t=10 sec

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Question 1117301: A group of teenagers near a wind turbine decide to place a pair of pink shoes on the tip of one blade. They notice that the shoes are at its maximum height of 16 meters at t=10 seconds and its minimum height of 2 meters at t=25 seconds. Determine the equation.
a) Determine the height at exactly 10 minutes.
b) Later in the day, the wind speed increased and it now takes half the time for the wind turbine to complete one revolution. Rewrite your equation to account for this change.
Answer by Alan3354(69443) About Me  (Show Source):
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A group of teenagers near a wind turbine decide to place a pair of pink shoes on the tip of one blade. They notice that the shoes are at its maximum height of 16 meters at t=10 seconds and its minimum height of 2 meters at t=25 seconds. Determine the equation.
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Amplitude = (16-2)/2 = 7
Vertical shift = 7+2 = 9
Period = 2*(25-10) = 30 seconds
f(t) = 7sin(t*pi/15) + 9
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a) Determine the height at exactly 10 minutes.
t = 600 seconds
f(t) = 12.808 meters
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b) Later in the day, the wind speed increased and it now takes half the time for the wind turbine to complete one revolution. Rewrite your equation to account for this change.
f(t) = 7sin(t*2*pi/15) + 9