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Q.

In vacuum on the earth surface, all freely falling bodies:

A) Have the same speed

B) Have the same velocity

C) Have the same force

D) Have the same acceleration

see full answer

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Detailed Solution

“In vacuum” means no air resistance. Motion is due only to gravity.

A) Speed

Speed depends on release time and height. Different bodies can have different speeds at a given moment. Not always the same.

B) Velocity

Velocity includes magnitude and direction. Although direction is downward, magnitudes differ with time and initial conditions. Not the same.

C) Force

The weight on a body is F = m g. Different masses ⇒ different forces. Not the same.

D) Acceleration

From Newton’s second law: F = m a. For free fall, F = m g. Therefore m a = m g ⇒ a = g. Mass cancels, so every freely falling body in vacuum has the same acceleration g ≈ 9.8 m/s² on Earth.

Conclusion

Only the acceleration is universal for all freely falling bodies in vacuum near Earth’s surface. Hence option D.

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