Students in a lab measure the speed of a steel ball launched horizontally from a tabletop...

Students in a lab measure the speed of a steel ball launched horizontally from a tabletop to be v. The tabletop is distance y above the floor. They place a tall tin coffee can of height 0.1y on the floor to catch the ball.

(a) Show that the can should be placed a horizontal distance from the base of the table of .

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(b) If the ball leaves the tabletop at a speed of 4.0 m/s, the tabletop is 1.5 m above the floor, and the can is 0.15 m tall, show that the center of the can should be placed a horizontal distance of 2.1 m from the base of the table.