a car travels from A to B with a speed v1 . During return journey from B to A it's speed is V2 . find average speed also average velocity
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Let the distance be d.
t₁ = d/v₁
t₂ = d/v₂,
where t₁ and t₂ are time from A-B and B-A respectively.
Total t = d/v₁ + d/v₂
= (dv₂ + dv₁)/v₁v₂
Average speed = total d / t
= (d+d)/{(dv₂+dv₁)/v₁v₂}
= 2d/{(dv₂+dv₁)/v₁v₂}
= 2dv₁v₂/(dv₂+dv₁)
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this is correct answer
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