Question

A person travelling in a straight line moves with a constant velocity v₁ for certain distance x’ and with a constant velocity v₂ for next equal distance. The average velocity y is given by the relation

(A) v = \(\sqrt{v_1\,v_2}\)

(B) \(\frac{1}{v}=\frac{1}{v_1}+\frac{1}{v_2}\)

(C) \(\frac{2}{v}=\frac{1}{v_1}+\frac{1}{v_2}\)

(D) \(\frac{v}{2}=\frac{v_1+v_2}{2}\)

Answer 1

(C) \(\frac{2}{v}=\frac{1}{v_1}+\frac{1}{v_2}\)

Let, t’ be the time taken to travel distance ‘x’ with constant velocity ‘v₁’

∴ t₁ = \(\frac{X}{\text{v}_2}\)

Let ‘t₂’ be the time taken to travel equal distance ‘x’ with constant velocity ‘v₂'