math
posted by gabby on .
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.

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