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A particle moves a distance x in time t according to equation x = (t + 5)–1. The acceleration of particle is proportional to:
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- (velocity)3/2
- (distance)²
- (distance)–2
- (velocity)2/3
Correct Option: A
| x = | |
| t + 5 |
| ∴ v = | = | ||
| dt | (t - 5)² |
| ∴ a = | = | = 2x³ | ||
| dt² | (t - 5)³ |
| Now | ∝ v1/2 | |
| (t + 5) |
| ∴ | ∝ v3/2 ∝ a | |
| (t + 5)³ |
