How Do You Calculate the Entry Velocity of a Ball into a Basketball Hoop?

In summary, the conversation is about finding the velocity of a ball entering a basketball hoop, which should be -6.42m/s at an angle of -43.6 degrees. The ball starts at a velocity of 7.67m/s and reaches a maximum height of 4m, while the hoop is 3m high and the ball starts 2.1m above the ground. The person asking for help tried using the equation v^2=vo^2+2a(delta x) but did not get the correct answer. However, they have since figured out how to solve the problem.
  • #1
Mango12
49
0
I am trying to find the velocity at which a ball enters a basketball hoop. The answer should be -6.42m/s at an angle of -43.6 degrees, but idk how to get that.

The ball starts at a velocity of 7.67m/s and reaches a max height of 4m. The hoop is 3m high, and the ball starts 2.1m above the ground. Can anyone please help.

I tried doing v^2=vo^2+2a(delta x) but I didn't get the right answer...help please!
 
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  • #2
Hi Mango12,

I noticed you have the [SOLVED] tag in your title, but just to make sure, have you solved this problem entirely? Or did you figure out how to do it?
 
  • #3
Euge said:
Hi Mango12,

I noticed you have the [SOLVED] tag in your title, but just to make sure, have you solved this problem entirely? Or did you figure out how to do it?

I figured out how to do it. But thank you for checking!
 

FAQ: How Do You Calculate the Entry Velocity of a Ball into a Basketball Hoop?

What is the velocity of a ball entering a hoop?

The velocity of a ball entering a hoop can vary depending on factors such as the height and angle at which the ball is released, air resistance, and the size and weight of the ball. However, on average, a basketball entering a hoop has a velocity of around 10-15 miles per hour.

How does the velocity of a ball affect its chances of entering a hoop?

The velocity of a ball plays a crucial role in determining whether it will enter a hoop or not. A higher velocity can increase the chances of the ball entering the hoop, as it has more force and momentum to overcome any obstacles or resistance. However, a very high velocity can also cause the ball to bounce off the rim or backboard, reducing the chances of it entering the hoop.

What is the relationship between velocity and distance in a ball entering a hoop?

The relationship between velocity and distance in a ball entering a hoop depends on the angle at which the ball is released. If the ball is released at a steeper angle, it will travel a shorter distance but with a higher velocity, increasing its chances of entering the hoop. On the other hand, if the ball is released at a flatter angle, it will travel a longer distance but with a lower velocity, decreasing its chances of entering the hoop.

How does air resistance affect the velocity of a ball entering a hoop?

Air resistance can significantly impact the velocity of a ball entering a hoop. As the ball moves through the air, it experiences drag, which can slow it down and decrease its velocity. The size and weight of the ball also play a role in the amount of air resistance it experiences. A heavier and larger ball will experience more air resistance, resulting in a lower velocity.

What other factors can influence the velocity of a ball entering a hoop?

Apart from the factors mentioned above, other factors that can influence the velocity of a ball entering a hoop include the surface on which the ball is bouncing, the force and angle at which it is thrown, and any external forces such as wind or gravity. The elasticity of the ball and the material of the hoop can also affect its velocity. Additionally, the skill and technique of the player throwing the ball can also impact the velocity and ultimately, the chances of the ball entering the hoop.

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