Sapling Learning Pool players often pride themselves on their ability to impart

Question

Sapling Learning Pool players often pride themselves on their ability to impart a large speed on a pool ball. In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the rail removed, a ball can fly off the table; the distance the pool ball lands from the table indicates the initial speed of the ball. As the only participant with a physics background, they have placed you in charge of determining the speed of the players' break shots strikes a ball with his pool cue). With the 2.75ft 15.25 ft The top of the pool table is 2.75 ft from the floor. The placement of the tape is such that 0 feet aligns to the edge of the table (as shown). The winner of the competition wants to know if he has broken the world record for the break shot of 32 mph. His ball landed a distance 15.25 ft from the table edge. Calculate his break shot speed. mph At what speed did his pool ball hit the ground O Previous Give Up & View Soldion (2) Check Answer 0 Next Exit- Hint about us careers | privacy policy terma ofia4 | contact us

Explanation / Answer

Initial velocity = vo = x/t = 15.25/t

15.25 ft = 4.6482 m

therefore, vo = 4.6482/t

in the same time, the vertical distance covered = 2.75 ft = 0.8382 m

therefore, h = uyt + (1/2)at2 = 0 + 4.9t2 = 0.8382

[since initial velocity in the y direction is zero].

0.8382 = 4.9(4.6482/vo)2

=> vo = 11.238 m/s = 25.14 mph.

b] Final velocity in the y direction will be:

vy = [uy2 + 2(9.8)(0.8382)]1/2 = [0 + 2(9.8)(0.8382)]1/2 = 4.053 m/s

therefore, final speed at the ground will be: |v| = [(4.053)2 + (11.238)2]1/2 = 11.9466 m/s = 26.723 mph.

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