Suppose we roll a ball along a table with speed vo,so that it rolls off the edge. The table has height h. (a) Sketch the trajectory (y vs x). Take the position it rolls off the table to be x = 0 and y = h. (b) Sketch a position plot and a velocity plot for the x direction (time on the horizontal axis for both). (c) Sketch a position plot and a velocity plot for the y direction (time on the horizontal axis for both). (d) How far from the base of the table will the ball hit the ground? (e) If you want the ball to travel as far as possible, which should you do: double the height of the table or double the initial speed of the ball?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 3 Table Roll
Suppose we roll a ball along a table with speed vo,so that it rolls off the edge. The table has height h.
(a) Sketch the trajectory (y vs x). Take the position it rolls off the table to be x = 0 and y = h. (b)
Sketch a position plot and a velocity plot for the x direction (time on the horizontal axis for both). (c)
Sketch a position plot and a velocity plot for the y direction (time on the horizontal axis for both). (d)
How far from the base of the table will the ball hit the ground? (e) If you want the ball to travel as far
as possible, which should you do: double the height of the table or double the initial speed of the ball?
Transcribed Image Text:Problem 3 Table Roll Suppose we roll a ball along a table with speed vo,so that it rolls off the edge. The table has height h. (a) Sketch the trajectory (y vs x). Take the position it rolls off the table to be x = 0 and y = h. (b) Sketch a position plot and a velocity plot for the x direction (time on the horizontal axis for both). (c) Sketch a position plot and a velocity plot for the y direction (time on the horizontal axis for both). (d) How far from the base of the table will the ball hit the ground? (e) If you want the ball to travel as far as possible, which should you do: double the height of the table or double the initial speed of the ball?
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