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Answer:
Formula of the function is found:
For t= 2.5s , vertical distance is:
H(2.5) = +42.38cm , H(2.5) = -42.38cm
Explanation:
General form of trigonometric function H(t) is given by:
Where
A = Amplitude
Period = 3s = 2π/B
B = 2π/3
C = Phase shift = 1.3s
D = Vertical Shift
Find A (Amplitude):
Amplitude = (highest value - lowest value)/2
Amplitude = (-27-(-44))/2
Amplitude = (-27+44)/2
Amplitude = 8.5
Find D (Vertical Shift)
Vertical shift can be found by finding midpoint
Midpoint = (highest value + lowest value)/2
Midpoint = (-27-44)/2
Midpoint = -35.5
<h3>Substitute the values of A,B,C,D in the general form of trigonometric function.</h3><h3>which is the formula of the function
<h3>For t = 2.5s</h3>