Two balls of equal masses are thrown at the same time in vacuum. While they are in vacuum, the acceleration of their centre of mass

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depends on masses of the balls

depends on direction of motion of the balls

depends on speeds of the balls

is equal to accelaration due to gravity

answer is D.

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Detailed Solution

There won't be any acceleration of the centre of mass in the horizontal direction because there is no force acting in that direction.
The gravitational force is the only force acting on the two balls, regardless of their direction, mass, or speed.
Therefore, the acceleration caused by gravity, or g, will be the acceleration of the centre of mass.
Hence , when the two balls are in the air, their respective centres of mass accelerate at a rate of g.

Hence the correct answer is is equal to accelaration due to gravity.

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