Question

susan throws a softball upward into the air at a speed of 32 feet per second from a 8 foot platform. the distance upward that the ball travels is given by the function. d(t)=-16t^2+32t+8. What is the maximum height of the softball? how many seconds does it take to reach the ground after first being thrown.

Answer 1

as you know, the vertex of a parabola occurs at x = -b/2a.

Here, that is -32/-32 = 1
d(1) = 24

solving d=0 for t, we have t = 1+√3/2