1. The problem statement, all variables and given/known data
Attached I have the picture that comes with the problem. The question is how long does it take the ball to reach the hoop?

3. The attempt at a solution
I tried this problem 5 times, but I can't seem to get the right answer. Here is the way I approached the problem:
I already found the time it takes the ball to reach its max height= 1.180630296s. I found delta y to be 3.047m. I then used V^2y= V^20 + 2a(delta y). I plugged in 9.8 as "a" and 3.047 as delta y. I found Vy to be 7.727949275m/s. I then plugged that into Vy= V0y + ayt with V0y being 0. I got .788566253s as my time. I then added this time to the time at the max height for a time of 1.969196549s.
Attached Files
 basketball projectile motion.doc (174.5 KB, 9 views)

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 Maiia, I haven't seen the document yet (it's pending approval), but it should be very similar to your previous problem of throwing a rock from top of the building. In fact, reversing the motion of the basketball is the same problem. The given variables may differ, but you know how to find them.