Question

Two particle A and B moving along same straight line. Position of particle A and B are given by X_A = 2t - αt³ and X_B = t + βt³. At what time the velocities of both particles will be same.

(1) \(\frac1{\sqrt{\alpha + \beta}}\)

(2) \(\frac1{\sqrt{3(\alpha + \beta)}}\)

(3) \(\frac1{\sqrt{3(\alpha - \beta)}}\)

(4) \(\frac1{\sqrt{\alpha - \beta}}\)

Answer 1

Correct option is (2) \(\frac1{\sqrt{3(\alpha + \beta)}}\)