A projectile propelled straight upward from the ground is modeled by the function d(t)=-16t^2+304t. a) At what time does the projectile reach maximum height? b) What is the maximum height? c) At what times is the projectile more than 500 feet above the ground. Write your answer using interval notation. d)At what time does the projectile reach the ground?

1 answer

(a) as with all parabolas, max height at t = -b/2a = 304/32
(b) max height is d(304/32)
(c) find the roots of d(t)=500. d(t)>500 between the roots.
(d) hits ground at d(t) = 0. t=304/16

Don't forget what you know about parabolas from Algebra I.