Physics

To find the maximum height the ball will reach, we can use the conservation of mechanical energy. The ball starts with kinetic energy, and as it rises, this kinetic energy is converted into gravitational potential energy.

 

1. Initial Kinetic Energy:

The initial kinetic energy of the ball is given as 250 J. At the highest point, all this kinetic energy will have been converted into potential energy.

 

2. Potential Energy at Maximum Height:

The potential energy at the maximum height is given by:

where:

(mass of the ball),

(acceleration due to gravity),

is the maximum height the ball will reach (which we need to find).

 

3. Using Conservation of Energy:

At the highest point, all the initial kinetic energy is converted to potential energy. Therefore, we can set the initial kinetic energy equal to the potential energy:

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