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Time and Speed

A particle mo...

Question

A particle moves with velocity $v_{1}$ for time $t_{1}$ and $v_{2}$ for time $t_{2}$ along a straight line. The magnitude of the average acceleration is

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Solution

Step 1: Given
Velocity for time $t_1$ = $v_1$
Velocity for time $t_2$ = $v_2$
Step 2: Formula used
Average acceleration = $\frac{Δ v}{Δ t}$ (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 = $\frac{v_{2} - v_{1}}{t_{1} + t_{2}}$
Hence, the average acceleration of the particle is $\frac{v_{2} - v_{1}}{t_{1} + t_{2}}$ .

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