**Title: Analyzing Elastic Collisions with Spheres****Figures Explanation:**- **Figure 1:** Sphere X is thrown vertically upwards from a height \( h \) above the ground with speed \( v \).- **Figure 2:** Sphere Y is thrown horizontally from the same height \( h \) with speed \( v \).- **Figure 3:** Sphere Z is thrown vertically downwards from height \( h \) with speed \( v \).**Problem Statement:**Three identical spheres are thrown from the same height above the ground. Sphere X is thrown vertically up, sphere Y is thrown horizontally, and sphere Z is thrown vertically down, as shown in Figures 1, 2, and 3, respectively. All three spheres are thrown with the same speed \( v \). Air resistance is negligible.Assume the spheres collide elastically with the ground. Which of the following ranks the spheres based on the rebound height after they collide with the ground?**Options:**A) X > Y = ZB) Y > (X = Z)C) Z > Y > XD) (X = Z) > YE) (X = Z) > Y---**Explanation:**The problem assesses understanding of motion and elastic collisions. In elastic collisions, kinetic energy is conserved. The velocity vectors, directions, and initial conditions of the spheres influence the rebound behavior, but since air resistance is negligible, each scenario primarily considers how gravity affects the spheres’ motion pre and post-collision.

The initial vertical velocities of ball X and Z are same before collision before collision v' = v+…

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