Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the ground in yards after 2
seconds is given by the function:
h(x) = -5x2 + 10x + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as
you found in part b from the previous example. To find the
maximum height, we would substitute in for r in our
function and simplify.
The maximum height reached by the rocket was yards.
What is the time it takes for the rocket to hit the ground? (Use a
graph or any other method to solve.)
It takes approximately
seconds for the rocket to hit the
ground. (Round to the nearest tenth.)