A) \[\sqrt{{{v}_{1}}{{v}_{2}}}\]
B) \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
C) \[{{\left( \frac{1}{{{v}_{1}}}+\frac{1}{{{v}_{2}}} \right)}^{-1}}\]
D) \[2{{\left( \frac{1}{{{v}_{1}}}+\frac{1}{{{v}_{2}}} \right)}^{-1}}\]
Correct Answer: B
Solution :
Let \[{{s}_{1}}\]and \[{{s}_{2}}\]be the distance travelled by car, then \[{{s}_{1}}={{v}_{1}}t\] ?(i) \[{{s}_{2}}={{v}_{2}}t\] ?(ii) \[\text{Average}\,\text{velocity =}\frac{\text{total}\,\text{distance}}{\text{tatal}\,\text{time}\,\text{taken}}\] \[=\frac{{{s}_{1}}+{{s}_{2}}}{t+t}=\frac{{{v}_{1}}t+{{v}_{2}}t}{2t}\] \[=\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
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