SOLUTION: The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres. At what time is the maximu

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Question 322210: The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
At what time is the maximum height reached?
Answer by solver91311(24713) About Me  (Show Source):
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This is a parabola. Since the lead coefficient is negative, the parabola opens down, and therefore the vertex is a maximum. The value of the independent variable ( in this case) at the vertex is the negative of the coefficient on the first degree term divided by two times the lead coefficient.

John