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Question

A particle moves with velocity v1 for time t1 and v2 for time t2 along a straight line. The magnitude of the average acceleration is

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Solution

Step 1: Given

Velocity for time t1t_1t1 = v1v_1v1

Velocity for time t2t_2t2 = v2v_2v2

Step 2: Formula used

Average acceleration = ΔvΔt (where Δ v is the change in velocity and Δ t is the total time over which the velocity is changing)

Step 3: Finding average acceleration

Average acceleration = v2v1t1+t2

Hence, the average acceleration of the particle is v2v1t1+t2.


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