Question

A passenger travels along a straight line with velocity $V_1$ for first half time and with velocity $V_2$ for next half time, then the mean velocity v is given by -

Answer 1

Let the total time taken be $2t$

For first half time :

Velocity $=V_1$

Displacement $S_1=V_{1}t$

For second half time :

Velocity $=V_2$

Displacement $S_2=V_{2}t$

Total displacement $S=S_1+S_2=(V_1+V_2)t$

Total time $T=2t$

Mean velocity $V_{avg}=\frac{S}{T}=\frac{V_1+V_2}{2}$