A steel marble rolls off a 1.12 m tall table with an initial horizontal velocity of 1.44 m/s. The ball must land in a paper cup that is 0.10 m tall with a diameter of 0.05 m. How far horizontally from the edge of the table should the center of the cup be placed?

Question

A steel marble rolls off a 1.12 m tall table with an initial horizontal velocity of 1.44 m/s.  The ball must land in a paper cup that is 0.10 m tall with a diameter of 0.05 m.  How far horizontally from the edge of the table should the center of the cup be placed?

oobleck · Answer

how long does it take to fall 1.12-0.1 = 1.1 meters? 4.9t^2 = 1.1 t = 0.474 seconds how far does it travel horizontally? 1.44 * 0.474 = 0.682 meters I hope the cup is anchored to the floor ...