A) \[\frac{{{v}_{1}}{{v}_{2}}}{2}\]
B) \[\frac{{{v}_{1}}{{v}_{2}}}{4}\]
C) \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
D) \[\frac{{{v}_{1}}-{{v}_{2}}}{2}\]
Correct Answer: C
Solution :
Average velocity is equal to ratio of total displacement to total time. Velocity is a vector quantity and average velocity is defined as the total displacement undergone by the body per unit time Displacement in first instance\[={{v}_{1}}t\] Displacement in second instance\[={{v}_{2}}t\] \[\therefore \]Average velocity\[=\frac{{{v}_{1}}t+{{v}_{2}}t}{t+t}=\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
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