SOLUTION: the height of a model rocket can be measure by the function H(t)=720t-16t^2, where t is time measured in seconds, and H is measured in feet. how long does it take the rocket to rea

Question 615575: the height of a model rocket can be measure by the function H(t)=720t-16t^2, where t is time measured in seconds, and H is measured in feet. how long does it take the rocket to reach its highest point, and how high does it get
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Find 2 points where the height of the rocket is zero
One point is at (0,0) because

Now set

This is true if or if

So, the 2nd point is at (45,0)
The midpoint of this parabola is at sec
The find the height at this time,

The maximum height is 8,100 ft
Here's the plot where height is in hundreds of feet

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