A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 576t

Question

dsp73

3 years ago

6

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? Show your work for full credit.

Mathematics

1 answer:

Lyrx [107] · Answer 1 · 2022-03-04T00:48:09+03:00

Lyrx [107]3 years ago

4 0

The graph of this projectile is a parabola. The tome to reach maximum height can be found using the formula t=-b/2a, where b is the linear term's coefficient and a is the quadratic term's coefficient. Plugging in the values for b and a, we arrive at t=-576/-32=18 seconds.