If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 ft per second, then its height h after t seconds is given by the equation h(t) = -16t ^2 + 128t. what is the height after 60 seconds?

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Step-by-step explanation:

t=60 is outside the domain of the function, which is t ∈ [0, 8].

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If you take the function and the time at face value, ...

... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*

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*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.