A particle moving along a straight line with uniform acceleration, passes successively through three points A, B, C. If t1 = time taken to go from A to B; t2 = time taken to go from B to C and AB = a, BC = b. If a = b and the velocities of the particle at A, B, C be p, q, r respectively, then, what is the relation between p2, q2 and r2?

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A particle moving along a straight line with uniform acceleration, passes successively through three points A, B, C. If t<sub>1</sub> = time taken to go from A to B; t<sub>2</sub> = time taken to go from B to C and AB = a, BC = b. If a = b and the velocities of the particle at A, B, C be p, q, r respectively, then, what is the relation between p<sup>2</sup>, q<sup>2</sup> and r<sup>2</sup>?