A person travels along a straight road for the first half time with a velocity v1 and the second half time with a velocity v2. Then, the mean or average velocity ¯v is given by
A
¯v=v1+v22
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B
2¯v=1v1+1v2
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C
¯v=√v1v2
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D
¯v=√v2v1
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Solution
The correct option is A¯v=v1+v22 Let t be the total time taken to cover the whole distance. →v=Displacementtime
Displacement for first half = v1t2 Dispalcement for second hald = v2t2⇒¯v=v1(t2)+v2(t2)t=v1+v22