arlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (hh) above the ground in yards after xx seconds is given by the function: h(x)=−5x2+10x+20h(x)=−5x2+10x+20 What was the maximum height of the rocket?
Problem
Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (hh) above the ground in yards after xx seconds is given by the function:
h(x)=−5x2+10x+20h(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 xx 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.)
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