Physics

To calculate the average impact force exerted on the basketball by the ground during the collision, we need to determine the change in momentum of the basketball during the collision and then use the impulse-momentum relationship.

 

Calculate the velocity just before hitting the ground

The basketball is dropped from a height , so we can calculate the velocity just before impact using the following kinematic equation:

 

Substituting the given values:

 

So, the velocity just before hitting the ground is .

 

Calculate the velocity just after bouncing

The basketball bounces back to a height of . We can calculate the velocity just after the bounce using the same kinematic equation:

 

Substituting the given values:

 

So, the velocity just after the bounce is .

 

Calculate the change in momentum

The change in momentum is given by: