Assume you are throwing a baseball up from the top of a building. The equation for the height of the ball, h, at time, t, is represented by the equation: h=-16t^2+64t+512

(5 points) After how many seconds does the ball reach 560 feet? Explain what your answer means.

1 answer

h=-16t^2+64t+512
we want h = 560

560 = -16t^2+64t+512
16t^2 - 64t + 48 = 0
t^2 - 4t + 3 = 0
(t-1)(t-3) = 0

it happened after 1 second AND after 3 seconds, once on its way up and then again on its way down