SOLUTION: A rocket is launched upward with a velocity of 288 feet per second from the top of a 60-foot building. What is the maximum height attained by the rocket?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A rocket is launched upward with a velocity of 288 feet per second from the top of a 60-foot building. What is the maximum height attained by the rocket?       Log On


   

Question 1140857: A rocket is launched upward with a velocity of 288 feet per second from the top of a 60-foot building. What is the maximum height attained by the rocket?

Found 2 solutions by rothauserc, Alan3354:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
the equation for the height of the rocket at time t is
:
1) h(t)= -16t^2 + 288t + 60
:
the rocket follows the path of a parabola that curves downward
:
t is the x-axis and h is the y axis
:
The t value for the vertex is -b/2a = -288/2(-16) = -288/-32 = 9
:
To find the max height of the rocket substitute t = 9 in equation 1
:
h(9) = -16(9^2) +288(9) +60 = 1356 feet
:

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
that is not a rocket, it's a projectile.
Rockets accelerate upward.