An object is falling freely from a height x. After it has fallen a height x/2, it will possess :

Only potential energy

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Only kinetic energy

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Half potential and half kinetic energy

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Less potential and more kinetic energy

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Solution

The correct option is C Half potential and half kinetic energy
Since the ball is in free-fall, the only force acting on it is gravity. Therefore, we can use the principle of conservation of mechanical energy - initially the ball has potential energy and no kinetic energy.
After it has fallen a height $\frac{x}{2}$ it will possess half potential and half kinetic energy.
Hence, option C is correct.

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