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  • A particle slides down a frictionless parabolic (y=x^{2}) track (A - B - C) starting from rest at point A (Fig. 4.2). Point B is at the vertex of parabola and point C is at a height less than that of point A.

A particle slides down a frictionless parabolic (y=x^{2}) track (A - B - C) starting from rest at point A (Fig. 4.2). Point B is at the vertex of the parabola and point C is at a height less than that of point A. After C, the particle moves freely in the air as a projectile. If the particle reaches the 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.

Answers (1)

The answer is the option (c)

Explanation: total energy at a point in the path remains the same as there is no friction between air and plane on paths A, B and C

As we know through the energy conservation law, total energy at point P will be same as total energy at point A.

Hence, option c is correct.

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