The velocity of an object at time t1 is v1, and at time t2, it becomes v2. The average acceleration of the object in that time-interval is:

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  1. (v2 − v1 ) /t2
  2. v2/t2
  3. (v2 − v1) /(t2− t1)
  4. v2/(t2 − t)

Answer (Detailed Solution Below)

Option 3 : (v2 − v1) /(t2− t1)
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Detailed Solution

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The Correct answer is (v2 - v1) / (t2 - t1).

Key Points

  • Average acceleration is defined as the change in velocity divided by the time interval during which the change occurs.
  • The formula for average acceleration is: a_avg = (v2 - v1) / (t2 - t1), where:
    • v1 is the initial velocity of the object.
    • v2 is the final velocity of the object.
    • t1 is the initial time.
    • t2 is the final time.
  • The correct formula, (v2 - v1) / (t2 - t1), ensures that both the change in velocity and the change in time are appropriately considered.
  • This formula applies to scenarios of uniform or non-uniform acceleration over the given time interval.
  • The SI unit of average acceleration is meters per second squared (m/s²).
  • Average acceleration gives a measure of how quickly the velocity of an object changes over a period of time.
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