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Alex Ar [27]
1 year ago
13

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 second

s after kick. How many seconds have gone by when the football is at its highest point?
Mathematics
1 answer:
Hitman42 [59]1 year ago
7 0

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

<h3>What is a parabola?</h3>

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

\rm  h(t)= -16t^2+72t

Making perfect square:

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

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

\rm  h(t)=  81-(4t-9)^2

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

#SPJ1

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