
Patrick B. answered 08/24/19
Math and computer tutor/teacher
h = -16t^2 + 250t <--- initial velocity v0 = 250 ft/sec
500 = -16t^2 + 250t
16t^2 - 250t + 500 = 0
8t^2 - 125t + 250 = 0
t = (125 + 5*sqrt(305))/16 = 13.27+ seconds
or
t = (125 - 5*Sqrt(305))/16 = 2.355- seconds