Question

A toy rocket is fired into the air from the top of a barn its height H above the ground in yards after T seconds is given by the function h of T is equal to -5 t^2 + 10t + 20

1.what is the maximum height of the rocket
2. how long was the rocket in the air before hitting the ground
3.at what time(s) will the rocket be at a height of 22 yards ​

Answer 1

45

Explanation:

x = -30/2(-5)

x = -30/(-10)

x = 3 sec

.

Plug above into equation to find height:

h=-5t^2 + 30t

h=-5*3^2 + 30(3)

h=-5*9 + 30(3)

h=-45 + 90

h=45