Atoy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 80 feet per second. the height h, in feet, of the rocket above the ground as t seconds after launch is given by the function h(t)=-16t^2+80t+5. how long will it take the rocket to reach its maximum height? what is the maximum height?
can anyone me
you in advance

For this case we have the following function:

To find the time when it reaches its maximum height, what we must do is to derive the function.

We have then:

We set zero and clear the time:

Then, we evaluate the time obtained for the function of the height.

We have then:

It will take the rocket to reach its maximum height:

the maximum height is:

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step-by-step explanation:

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to be honest i don't know but i need points so