Lillian kicks a football. Its height in feet is given by h(t)= -16t^2+72th(t)=−16t 2 +72t where tt represents the time in seconds after kick. How many seconds have gone by when the football is at its highest point?

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23-05-2022
Mathematics

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Lillian kicks a football. Its height in feet is given by h(t)= -16t^2+72th(t)=−16t 2 +72t where tt represents the time in seconds after kick. How many seconds have gone by when the football is at its highest point?

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maheshpatelvVT maheshpatelvVT · Answer 1 · 2022-05-25T07:48:09+02:00

The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

[tex]\rm h(t)= -16t^2+72t[/tex]

Making perfect square:

[tex]\rm h(t)= -[(4t)^2-72t+9^2 -9^2][/tex]

[tex]\rm h(t)= -[(4t-9)^2 -81][/tex]

[tex]\rm h(t)= 81-(4t-9)^2[/tex]

The highest point will be when term (4t-9)² becomes zero

So the highest point = 81 feet, and it takes:

t = 9/4 seconds

Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

Learn more about the parabola here:

brainly.com/question/8708520

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