Question

10. Klay Thompson has an amazingly consistent 3 point shot. He consistently releases from let's say 3.0 meters above the ground to enter a hoop 22 ft away (note units). The hoop is 10 ft off the ground.

a. If he shoots with a release angle of 30 degrees, how fast is the ball as it leaves his hands?

b. The same shot is attempted, at the same angle, but bounces off the back of the rim. It went 0.15m past what he wanted. What was the speed on release for this shot?

c. (Opinion) Would you rather be able to do this problem via repetition and feel like Klay does? Or would you rather go through the numbers so that you could program a robot to shoot a ball better than Klay or Curry or Jordan?

( We are doing projectile motion right now )

I also I converted the feet to meters i noticed the hoop is 3 meters(rounded) and so is where Klay shoots his ball.

Answer 1

Given is:-

Initial height of the Klay thompson = 3 meters

Distance between the person and the hoop is = 22 ft or 6.7056 m

Height of the Hoop is = 3.048 m

Initial angle  

Now,

Let the initial velocity of the projectile is = u m/s

Thus the

the horizontal and vertical components of the velocity are

Now,

the time taken to reach the hoop is

eq-1

Using second equation of motion in vertical direction we get

by plugging the values of t from eq -1 we get

which gives us

which gives us

Part - b

Here the total distance is

Using second equation of motion we get

which gives us

Part - c

We have required data so we can write a program so that computer do all the maths and we dont have to shoot the ball.