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 organizers often remove one of the rails on a pool table to allow players to measure the speed of their rail removed, a ball can fly off the table. As the only participant with a physics you in charge of determining the speed of the players' break shots shot of a game in which the player strikes a ball with his pool cue). With the ony participant with a 0.730 m 4.25 m The top of the pool table is 0.730 m from the floor. The placement of the tape is such that 0 m is aligned with the record for the break shot of 32 mph (about 14.3 m/s). If the winner's ball landed a distance 4.25 m from the table edge, calculate his break shot speed. of the competition wants to know if he has broken the world m/ s At what speed did his pool ball hit the ground? m/s Check Answer Next Exit 9 Hint

Explanation / Answer

given

a )

time to drop distance of 0.73 m is

t = ( 2 h / g )1/2

t = ( 2 X 0.73 / 9.8 )1/2

t = 0.385 sec

break shot speed is Vhor = ( 4.25 / 0.385 )

Vhor = 11.0389 m/sec

b )

the vertical component is V = g t

Vvert = 9.8 X 0.385

Vvert = 3.773 m/sec

so the total speed is " V "

V = ( V2hor + V2vert )1/2

V = ( 11.03892 + 3.7732 )1/2

V = 11.66588 m/sec

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