Answer:
Position X.
Step-by-step explanation:
To know the correct answer to the question, it is important that we know the definition of potential energy.
Potential energy can be defined as the energy possessed by an object in relation to its position. Mathematically it can be expressed as:
PE = mgh
Where
PE => is the potential energy.
m => is the mass of the object.
g => is the acceleration due to gravity.
h => is the height to which the object is located.
Considering the formula for potential energy (i.e PE = mgh), we can see clearly that the potential energy (PE) is directly proportional to the height (h). This implies that the greater the height, the greater the potential energy and the smaller the height, the smaller the potential energy.
Considering the diagram given above, we can see that the greatest height attained by the ball is at position X. Thus, the ball will have the greatest potential energy at position X.