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 to a pool ball. In the sport of billiards, event of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). With the rail removed, a ball can fly off the table. As the only participant with a physics background, they have placed zers often remove one of the rails on a pool table to allow players to measure the speed n tharge or deteamning the spee of te players break nhoth they have placed 0.850 m 5.05 m The top of the pool table is 0.850 m from the floor. The placement of the tape is such that 0 m is aligned with the edge of the table (as shown). The winner of the competition wants to know if he has broken the world table edge, calculate his break shot speed m/s At what speed did his pool ball hit the ground? Number m/s 1 Hint

Explanation / Answer

here,

let the time taken to hit the floar be t

for vertical height

h = 0 + 0.5 * g * t^2

0.85 = 0+ 0.5 * 9.81 * t^2

t = 0.42 s

final vertical speed , vy = 0 + g * t = 4.12 m/s

let the initial speed be ux

ux * t = 5.05

ux * 0.42 = 5.05

ux = 12.1 m/s

the final speed of ball , v = sqrt(vy^2 + ux^2)

v = sqrt(12.1^2 + 4.12^2)

v = 12.8 m/s

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