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
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 = v2−v1t1+t2
Hence, the average acceleration of the particle is v2−v1t1+t2.