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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (Show Source):
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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