Physics

To find the average power delivered by the gravitational force while the object reaches half of its maximum height, we need to break down the problem into several steps:

 

Calculate the maximum height

Given:

The mass of the object ,

The initial velocity ,

The acceleration due to gravity .

 

At maximum height, the object's final velocity . We can use the kinematic equation to find the maximum height :

Substituting the values:

So, the maximum height is .

 

Find the height at half of the maximum height

The height at half of the maximum height is:

 

Calculate the velocity at half of the maximum height

We use the kinematic equation to find the velocity at half of the maximum height. The equation is:

Substituting , , and :