Release Angle

[jojo52]

The 3-point line in basketball is 23 ft 9 in away from the point on the floor vertically below the center of an 18-in diameter rim. The rim is 10 ft above the floor. Kim shoots a three pointer using a 9-in diameter ball from the 3-point line that just clears the basket. The release height was 8 ft. What is the smallest release angle, measured relative to horizontal?

 

[Deleted member 4993]

The 3-point line in basketball is 23 ft 9 in away from the point on the floor vertically below the center of an 18-in diameter rim. The rim is 10 ft above the floor. Kim shoots a three pointer using a 9-in diameter ball from the 3-point line that just clears the basket. The release height was 8 ft. What is the smallest release angle, measured relative to horizontal?

First draw a sketch of the situation?

I assume, you know that the trajectory of a projectile is a parabola?

What is the equation that you need to use for the trajectory of a projectile released at an angle Θ and from a height h₀?

Please share your work with us.

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