Sapling Learning Mapdo Pool players often pride themselves on their ability to i

Question

Sapling Learning Mapdo 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 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 you in charge of determining the speed of the players' break shots. 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 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? )&Unrw; Scitlion O Check Answer 0 Next Exit

Explanation / Answer

h=0.73m R=4.25m

This is an example of horizontal projection

Formula for range= Vot

y = ut + 1/2at^2

h=1/2gt^2

0.73=1/2 x 9.8 x t^2

t= 0.3859s

4.25=Vo x t

Vo =4.25/0.3859

Vo =11.01m/s

Speed with which it will hit the ground = (Vx^2+-Vy^2)^1/2........eq 1

Vy= uy + ayt( y component of velocity )

Vy= g x t =9.8 x0.3859= 3.78m/s

Vx. =11.01m/s.

Using eq 1. V = 11.632m/s

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