SOLUTION: A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 576t. After how many seconds does the projectile take to

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 576t. After how many seconds does the projectile take to      Log On


   



Question 1133704: A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 576t. After how many seconds does the projectile take to reach its maximum height?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 576t.
After how many seconds does the projectile take to reach its maximum height?
:
Max occurs on the axis of symmetry, use the formula x = -b/(2a)
where: a=-16; b=576
t = %28-576%29%2F%282%2A-16%29
t = 18 seconds to reach max height