A person travels a straight road with velocity v1 for first half time and second half time wid velocity v2- then mean velocity is-

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Standard IX

Physics

Distance-Time Graphs

a person trav...

Question

a person travels a straight road with velocity v₁ for first half time and second half time wid velocity v₂. then mean velocity is?

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Solution

Suppose, the man’s total displacement is S.
And suppose his total time of travel is T.
He travels for time T/2 with velocity v₁. The displacement is = v₁ × T/2
Next T/2 time he travels at v₂. The displacement is = v₂ × T/2
So, S = v₁ × T/2 + v₂ × T/2 = (T/2)(v₁ + v₂)
Average velocity = S/T = (T/2)(v₁ + v₂)/T = (v₁ + v₂)/2

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a person travels a straight road with velocity v1 for first half time and second half time wid velocity v2. then mean velocity is?

a person travels a straight road with velocity v₁ for first half time and second half time wid velocity v₂. then mean velocity is?