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JEE Main20252 Apr 2025Morning ShiftPhysicsMotion in One DimensionActual

A person travelling on a straight line moves with a uniform velocity v ₁ for a distance x and with a uniform velocity v ₂ for the next 3 2 x distance. The average velocity in this motion is 50 7 ~m / s . If v ₁ is 5 ~m / s then v ₂= _________ m / s .

Correct answer

0

Step-by-step solution

aligned & v _ avg = x ₁+ x ₂ t ₁+ t ₂ & 50 7 = x + 3 x 2 x 5 + 3 x 2 v ₂ & 50 7 = 5 / 2 1 5 + 3 2 v ₂ & 1 5 + 3 2 v ₂ = 7 20 aligned aligned & 3 2 v ₂ = 7 20 - 1 5 = 7-4 20 & 3 2 v ₂ = 3 20 & v ₂=10 ~m / s aligned

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