53. We denote has the height of a step and was the width. To hit step n, the ball must fall a distance nhand travel horizontally a distance between (n– 1)wand 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 yaxis to be positive in the upward direction. The coordinates of the ball at time tare given by x= v0xtand ygt=−122(since v0y= 0). We equate yto –nhand solve for the time to reach the level of step n:tnhg=2.The
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