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A toy rocket is launched vertically into the air from a pad 7 feet above the ground with an initial velocity of 40 feet per second. The height \( h \), in feet, of the rocket above the ground at \( t \) seconds after launch is given by the function:

\[ h(t) = -16t^2 + 40t + 7 \]

1. How long will it take the rocket to reach its maximum height?
2. What is the maximum height?

Answer :

Answer:

The maximum height of the rocket with respect to the ground can be obtained by evaluating the function h(t) for a time of 1.25 seconds. The rocket reaches a maximum height of 32 ft.

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