find the coefficient of restitution for between ball and step.---**Question Stem:** Bouncing of a Ball on Staircase: A ball continuously bounces on each step of a staircase such that it bounces above a height *h* of that step after every collision. Find coefficient of restitution for between ball and step if each step height is *h₁*.

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We have a ball bouncing on a staircase. After each collision with a step, the ball bounces to a height h above that step. Each step has a height h₁. Our goal is to find the coefficient of restitution between the ball and the step surface. The coefficient of restitution, denoted as e, measures how elastic a collision is. It's defined as the ratio of separation velocity to approach velocity. For a bouncing ball, this can be expressed as the square root of the bounce height divided by the drop height. The value ranges from 0 for perfectly inelastic collisions to 1 for perfectly elastic collisions.