Basketball projectile motion problem

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SUMMARY

The basketball projectile motion problem involves calculating the total time for a ball to reach the hoop. The user determined the time to reach maximum height as 1.180630296 seconds and the vertical displacement (delta y) as 3.047 meters. Using the equation V^2y = V^20 + 2a(delta y) with acceleration due to gravity (a) set at 9.8 m/s², the user calculated the vertical velocity (Vy) to be 7.727949275 m/s. The final total time to reach the hoop was computed as 1.969196549 seconds.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations, specifically V^2 = V0^2 + 2a(delta y)
  • Basic knowledge of gravitational acceleration (9.8 m/s²)
  • Ability to perform calculations involving time, velocity, and displacement
NEXT STEPS
  • Study the derivation and application of kinematic equations in projectile motion
  • Learn about the effects of air resistance on projectile trajectories
  • Explore advanced topics in physics such as energy conservation in projectile motion
  • Investigate real-world applications of projectile motion in sports analytics
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and sports analysts interested in the mechanics of basketball shooting techniques.

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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