Inactive Tutor answered 04/16/13
You want to know when the height H is equal to 0. This will happen twice - once at the start (when t=0) and later once the ball has landed. Either way, start by setting H=0.
So 0 = -9.8t^2 + 3.2t
GCF 0 = t (-9.8t + 3.2)
t = 0 OR -9.8t + 3.2 = 0... Subtract 3.2 from both sides here.... -9.8t = -3.2... so t = .33 seconds
The ball lands after .33 seconds