First slide

Average Velocity

Question

A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is

Moderate

A

4.0 m/s
B

5.0 m/s
C

5.5 m/s
D

4.8 m/s

Solution

$\begin{array}{l} v_{av} = \frac{2 \cdot v_{1} v}{u_{1} + v} v = \frac{u_{2} + u_{3}}{2} = \frac{7 .5 + 4 .5}{2} = 6 \\ v_{1} = 3 m / s \\ v_{av} = 4 m / s \end{array}$

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