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A golf ball bounces down a flight of steel stairs, striking several steps on the way down, but never hitting the edge of a step. The ball starts at the top step with a vertical velocity component of zero. If all the collisions with the stairs are elastic, and if the vertical height of the staircase is 2.63 m, determine the bounce height when the ball reaches the bottom of the stairs. Neglect air resistance.

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Answer:

2.63m

Explanation:

In order to use this expression, we must calculate the values of Velocity (V0) and Velocity(Ve). The initial velocity has only a horizontal component V(0) = V(0x), the final velocity also has a horizontal component since the ball it's at a point of trajectory, V(e) = V(ef). No forces act in the horizontal direction so the momentum of the ball in this direction is conserved, hence, V(0) = V(e)

Therefore, h(e) = h(0) = 2.63m