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A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 32 feet per second. The height \( h \), in feet, of the rocket above the ground at \( t \) seconds after launch is given by the function:

\[ h(t) = -16t^2 + 32t + 5 \]

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

Answer :

You have to find the vertex.

Find X of the vertex by using -b/2a

Then take X and plug back into equation for y.

X= time
Y= height

Equation makes a parabola that opens down.

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