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A puck slides across a smooth, level tabletop at height H at a constant speed vo

ID: 1682930 • Letter: A

Question

A puck slides across a smooth, level tabletop at height H at a constant speed vo. it slides off the edge of the table and hits the floor a distance x away. What is the relationship between the distances x and H ? A puck slides across a smooth, level tabletop at height H at a constant speed vo. it slides off the edge of the table and hits the floor a distance x away. What is the relationship between the distances x and H ?

Explanation / Answer

Initial vertical component of velocity is zero, the vertical distance, H = 0.5 g t^2 We know that Horizontal distance x = vo * t ==> t = x / vo So that we have H = 0.5 * g * ( x / vo)^2 ==> H = (g / 2vo^2) * x^2

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