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Question 937420: A placekicker kicks the football, which reaches a maximum height of 8 yards and lands 50 feet away. Assuming the football was at the origin when it was kicked, write and equation for the height of the football.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A placekicker kicks the football, which reaches a maximum height of 8 yards and lands 50 feet away. Assuming the football was at the origin when it was kicked, write and equation for the height of the football.
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Draw the picture.
x-intercepts at (0,0) and (50,0)
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high point = (25,8)
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Form:: y = ax^2 + bx + c
y = ax(x-50
8 = a*25(-25)
a = 8/-625
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-b/(2a) = 25
b = -50a = -50[-8/625] = 400/625 = 16/25
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c = 0
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Equation::
y = (-8/625)x^2 + (16/25)x
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Cheers,
Stan H.
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