question_answer 44)

                  A particle slide down a frictionless parabolic \[(y={{x}^{2}})\] track \[(A-B-C)\] starting from rest at point A (fig.) Point B is at the vertex of parabola and point C is at a height less than that of point A. After C, the particle moves freely in air as a projectile. If the particle reaches highest point at P, then                 (a) KE at P = KE at B                 (b) height at P = height at A                 (c) total energy at P = total energy at A (d) time of travel from A to B = time of travel from B to P.

Answer:

                  (c) At B, velocity of particle                  is greatest than the velocity                  at p.                 Total energy of the particle remains conserved.