SOLUTION: If a rocket is launched vertically upward from ground level with an initial velocity of 96 feet per second, then its height h, after t seconds, is given by the equation h = -16t sq

Algebra ->  Number-Line -> SOLUTION: If a rocket is launched vertically upward from ground level with an initial velocity of 96 feet per second, then its height h, after t seconds, is given by the equation h = -16t sq      Log On


   



Question 171074: If a rocket is launched vertically upward from ground level with an initial velocity of 96 feet per second, then its height h, after t seconds, is given by the equation h = -16t squared + 96t. What is the maximum height by the rocket?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
h = -16t^2 + 96t

max height at -b/2a = -96/(-32) = 3 seconds

Plug in t = 3:

-16(3)^2 + 96(3) = 144 feet.