Question

Brianna kicks a football. Its height in feet is given by h(t) = -16t² + 80t where t represents

the time in seconds after kick. How many seconds have gone by when the football is at its
highest point?
Answer Attempt 1 out of 2
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Answer 1

The football is at its highest point 2.5 seconds after the kick.

Step-by-step explanation:

To find the time when the football is at its highest point, we need to determine the vertex of the parabolic function representing its height. The vertex of a parabola in the form h(t) = a*t^2 + b*t + c can be found using the formula t = -b / (2a).

For this problem, the function is h(t) = -16t^2 + 80t, so a = -16 and b = 80. Plugging these values into the formula, we can calculate t = -80 / (2*(-16)) = 2.5 seconds.

Therefore, when the football is at its highest point, 2.5 seconds have gone by since the kick.

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