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The diagram shows the velocity-time graph for two masses R and S that collided head on elastically. Which of the following statements is true?I. R and S moved in the same direction after the collision.II. The velocities of R and S were equal at the mid time of the collision.III. The mass of R was greater than the mass of S.A. I only.B. II only.C. I and II only.D. I, II and III.

Last updated date: 11th Aug 2024
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Hint: The momentum of a body is given by the product of mass and velocity. If a body changes its direction of motion then the velocity changes its sign, for example if the velocity is positive it gets negative and vice-versa.

As after the collision the velocity of mass R is less than the mass of velocity S, and according to the principle of conservation of momentum, the momentum is conserved before and after the collision. So, if velocity is decreased then mass of R must be greater than mass of S, because momentum is given by $p = m \cdot v$.