Question

An object moves with speed v₁, v₂, and v₃ along a line segment AB, BC and CD respectively as shown in figure. Where AB = BC and AD = 3 AB, then average speed of the object will be:

(1) \(\frac{(v_1 + v_2 + v_3)}3\)

(2) \(\frac{v_1v_2v_3}{3(v_1v_2 + v_2v_3 + v_3v_1)}\)

(3) \(\frac{3v_1v_2v_3}{v_1v_2 + v_2v_3 + v_3v_1}\)

(4) \(\frac{(v_1 + v_2 + v_3)}{3v_1v_2v_3}\)

Answer 1

Correct option is (3) \(\frac{3v_1v_2v_3}{v_1v_2 + v_2v_3 + v_3v_1}\) 

AB = x

BC = x

2x + CD = 3x

CD = x