Question

Under what condition(s) is the instantaneous acceleration throughout an interval (say 5 s long) equal to the average acceleration calculated over that interval?

Answer 1

if the body moves with constant accelaration

Answer 2

if the body moves with constant accelaration,then average accelaration = instantaneous accelaration

Answer 3

There can be 2 cases:

1) The body must be moving under constant acceleration. Hence, instantaneous acceleration at any instant would be the same as the average acceleration of the body in its journey.

2) If the body is moving with variable acceleration, say the graph of acceleration vs time has several ups and downs, we draw a line of a = a_avg . The number of points of intersection of this line with the graph give the instants at which the instantaneous acceleration = average acceleration.