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A particle moves a distance x in time t according to equation x = t + 5t⁻¹. The acceleration of the particle is proportional to:

1. (velocity)³/2
2. (distance)²
3. (distance)⁻²
4. (velocity)²/3

Correct answer: (distance)⁻²

Solution

The given equation x = t + 5t⁻¹ can be differentiated to find velocity and acceleration. Acceleration is found to be proportional to x⁻², making option C correct.

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