A person travelling in a straight line moves with a constant velocity v ₁ for certain distance ' x ' and with a constant velocity v ₂ for next equal distance. The average velocity v is given by the relation

Step-by-step solution

For distance x , the person moves with constant velocity v ₁ and for another x distance, he moves with constant velocity of v ₂ , then Total distance travelled, D = x + x =2 x Total time-taken, T = t ₁+ t ₂ = x v ₁ + x v ₂ [ t = Distance Velocity ] The average velocity, V _ av = total distance total time = D T aligned v & = 2 x x v ₁ + x v ₂ = 2 l v ₁ + l v ₂ [ v _ av = v ] 1 v ₁ + l v ₂ & = 2 v aligned