ch04-p053 - 53. We denote h as the height of a step and w...

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53. We denote h as the height of a step and w as the width. To hit step n , the ball must fall a distance nh and travel horizontally a distance between ( n – 1) w and nw . We take the origin of a coordinate system to be at the point where the ball leaves the top of the stairway, and we choose the y axis to be positive in the upward direction. The coordinates of the ball at time t are given by x = v 0 x t and yg t =− 1 2 2 (since v 0 y = 0). We equate y to nh and solve for the time to reach the level of step n : t nh g = 2 . The
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