SOLUTION: A rocket is fired in te air from the top of a building that is 200 feet tall. the initial velocity of the rocket is 600 feet per second. a. write the height function b. When do

Question 601557: A rocket is fired in te air from the top of a building that is 200 feet tall. the initial velocity of the rocket is 600 feet per second. a. write the height function b. When does the rocket reach it maximum height
c. What is the rocket's maximum height d. when does it hit the ground?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A rocket is fired in te air from the top of a building that is 200 feet tall. the initial velocity of the rocket is 600 feet per second.
.
a. write the height function
h(t) = -32t^2 + 600t + 200
.
b. When does the rocket reach it maximum height
at the vertex:
t = -b/(2a)
t = -600/(2(-32))
t = -600/(-64)
t = 9.375 seconds
.
c. What is the rocket's maximum height d. when does it hit the ground?
plug answer from b. into the equation:
h(t) = -32t^2 + 600t + 200
h(9.375) = -32(9.375)^2 + 600(9.375) + 200
h(9.375) = 3012.5 feet

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