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Question

Question: A person travels along a straight road for half the distance with velocity \(v _ { 2 }\) The average...

A person travels along a straight road for half the distance with velocity v2v _ { 2 } The average velocity is given by

A

v1v2v _ { 1 } v _ { 2 }

B

v22v12\frac { v _ { 2 } ^ { 2 } } { v _ { 1 } ^ { 2 } }

C

v1+v22\frac { v _ { 1 } + v _ { 2 } } { 2 }

D

2v1v2v1+v2\frac { 2 v _ { 1 } v _ { 2 } } { v _ { 1 } + v _ { 2 } }

Answer

2v1v2v1+v2\frac { 2 v _ { 1 } v _ { 2 } } { v _ { 1 } + v _ { 2 } }

Explanation

Solution

As the total distance is divided into two equal parts therefore distance averaged speed =2v1v2v1+v2= \frac { 2 v _ { 1 } v _ { 2 } } { v _ { 1 } + v _ { 2 } }