How Do You Calculate the Release Speed of a Basketball Shot?

In summary, The conversation is about finding the release speed of a ball when a player makes a shot to a basket. The problem involves an X value, an angle, and various measurements. The method used to calculate the release speed is attached, and it is determined to be 8.78 m/s when the acceleration due to gravity is assumed to be 9.8 m/s^2. The solution involves solving two equations to determine the time and then using that to calculate the release speed.
  • #1
ctlpsl
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0
I am having a difficult time with the motion equation when the problem only includes an X value and an angle. The problem is to fin the velease speed of the ball when a player makes a shot to a basket when he is 6.02 m from the basket and the basket is 2.05 m above the floor. The player is 2.05 m tall and the launch angle is 25 degrees.

Attached is the method I used to do the calculation. I feel like I left something out.
 

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  • #2
I can't see your work yet, but I got v0 = 8.78 m/s. Hope it helps. I'll check back later.

-Dan
 
  • #3
V0=8.78m/s is right if we take g=9.8m/s^2.

by using
x=V0 cos(theta) t
y=V0 sin(theta) t - 1/2 g t^2

solving these two equations, you'll get the answer! remember y=0 m
 

FAQ: How Do You Calculate the Release Speed of a Basketball Shot?

What is projection motion?

Projection motion, also known as projectile motion, is the motion of an object that is launched or thrown into the air and moves under the influence of gravity.

What factors affect projection motion?

The factors that affect projection motion are the initial velocity of the object, the angle at which it is launched, and the force of gravity.

How is projection motion calculated?

Projection motion can be calculated using the equations of motion, which take into account the initial velocity, angle of projection, and time elapsed.

What is the difference between horizontal and vertical projection motion?

Horizontal projection motion is the motion of an object that is launched horizontally, while vertical projection motion is the motion of an object that is launched at an angle. Horizontal projection motion does not experience any change in velocity due to gravity, while vertical projection motion does.

What are some real-life examples of projection motion?

Some real-life examples of projection motion include throwing a ball, shooting a basketball, or launching a rocket into space. These all involve an object being launched into the air and moving under the influence of gravity.

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