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Jason's friend George jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t)=-16t^2 +16t+480, where t is the time in seconds and h is the height in feet. a) How long did it take George to reach his maximum height?

Respuesta :

The given function is

[tex]h(t)=-16t^2+16t+480[/tex]

To find the time where it reaches the maximum height, we have to use the following formula.

[tex]h=-\frac{b}{2a}[/tex]

Where a = -16, and b = 16.

[tex]h=-\frac{16}{2(-16)}=\frac{1}{2}[/tex]

Therefore, after 1/2 seconds, it reaches the maximum height.

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