Moderate

If the speed of a particle at the end of four successive hours is 20, 25, 30, 35 km/hr, then the acceleration of the particle is:

Correct answer: C. 5 km/hr2

  • A. 5 m/sec2
  • B. 5 m/hr2
  • C. 5 km/hr2
  • D. 5 km/sec2

Explanation

The acceleration of a particle is calculated using the formula a = (vfinal - vinitial) / t. Given the speeds at the end of four successive hours are 20, 25, 30, and 35 km/hr, the final speed is 35 km/hr and the initial speed is 20 km/hr. The time interval is 4 hours. Therefore, the acceleration is: a = (35 km/hr - 20 km/hr) / 4 hr = 15 km/hr / 4 hr = 5 km/hr2.The incorrect options involve incorrect units or calculations: Option A uses meters and seconds, which are inconsistent with the units provided. Option B uses meters instead of kilometers. Option D uses seconds, which doesn't match the given time in hours.

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