13/201401:55 PM Tol100 10/13/2014 01:51 PM on 6 of 10 ng learning Pool players o

Question

13/201401:55 PM Tol100 10/13/2014 01:51 PM on 6 of 10 ng learning Pool players often themselves their ability to speed to pool In the sport of ball. billiards, event organizers remove one rails on a pool table to allow of their break shots (the opening shot of a game in which the player rs to measure the spee you a ball off the As the strikes a ball with his pool cue). With the in charge of determining the a they have placed speed of the players' break shots. 0.870 m 3.75 m The top of the pool table is 0.870 the floor. The placement of the tape is such that o m is aligned with the edge of m from record for the table (as shown). The winner of the competition wants to know if he has broken the world table the break shot of 32 mph (about 14.3 m/s). If the winner's ball landed a distance 3.75 m fram the edge, calculate his break shot speed. 16.081688 m s At what speed did his pool ball hit the ground? 16.603393 m/s. View Previous o view Next Exit TOSHIBA

Explanation / Answer

1/2 g t2 = h

t = sqrt (2h / g) = sqrt ( 2 * 0.87 / 9.81)

t = 0.421 s

break shot speed = 3.75 / 0.421

= 8.9 m/s

vertical speed = g t = 9.8 * 0.421 = 4.13 m/s

speed of the ball = sqrt(vx2 + vy2)

= sqrt(8.92 + 4.132)

= 9.81 m/s

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