Basketball projectile motion problem

AI Thread Summary
The discussion revolves around solving a basketball projectile motion problem to determine the time it takes for the ball to reach the hoop. The user has attempted the problem multiple times, calculating the time to max height as approximately 1.18 seconds and delta y as 3.047 meters. They used kinematic equations to find the vertical velocity and subsequently calculated the total time to be around 1.97 seconds. Another participant suggests that the problem is similar to a previous one involving a rock thrown from a building, indicating that the approach should be consistent. The conversation emphasizes the importance of correctly applying kinematic equations to solve projectile motion problems.
Maiia
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Homework Statement


Attached I have the picture that comes with the problem. The question is how long does it take the ball to reach the hoop?

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.
 

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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.
 
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