A particle slides down a frictionless parabolic (y + x^2 ) track (A-B-C) starting from rest at point A …

Q: A particle slides down a frictionless parabolic (y + x2 ) track (A-B-C) starting from rest at point A (figure). 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

Numerical

(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

Ans: (c)