Under what circumstance(s) will the average velocity of a moving object be the s

Question

Under what circumstance(s) will the average velocity of a moving object be the same as the instantaneous velocity? (Select all that apply.)

1.If the average velocity is taken over a period of constant acceleration, the instantaneous velocity will match it for one moment in the middle of that period.

2.The average velocity of a moving object will be the same as the instantaneous velocity if the object is moving at a constantly changing velocity (both magnitude and direction).

3.The average velocity of a moving object will be the same as the instantaneous velocity if the object is moving at a constant velocity (both magnitude and direction).

4.If the average velocity is taken over a period of constant acceleration, the instantaneous velocity will always be 0.

Explanation / Answer

1,3 are correct.

1) let in time t it will travel 0.5*t^2

=> average velocity = distance/time = 0.5*a*t^2/t = 0.5*at

=> and instantaneous velocity at t = 0.5t is a*0.5*t = 0.5at

3) if magnitude and direction dont change then average velocity is always equal to instantaneous velocity.

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