85,903 views
8 votes
8 votes
"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?

The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"

"A toy rocket is shot vertically into the air from a launching pad 7 feet above-example-1
User John Kealy
by
2.5k points

1 Answer

23 votes
23 votes

Answer:

2.25 seconds ; 88 feet

Explanation:

the maximum height of the rocket is the vertex of the parabola

x coordinate = -72/2(-16)

-72/-32 = 2.25 seconds

y coordinate = -16(2.25)^2 + 72(2.25) + 7

-81 + 162 + 7

-81 + 169

88 feet

User Karikari
by
2.9k points