Pool players often pride themselves on their ability to impart a large speed to a pool ball. In the sport of billiards, eventorganizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the openingshot 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, asshown in the figure.dThe surface of the pool table is h 0.830 m from the floor.The winner of the competition wants to know if he has broken the world speed record for the break shot of 32 mph (about14.3 m/s). If the winner's ball landeda distance of d 4.35 m from the table's edge, calculate the speed of his break shot vAssume friction is negligible.m/sAt what speed v1 did his pool ball hit the ground?m/sV1=

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Asked Nov 27, 2019
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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
shown in the figure.
d
The surface of the pool table is h 0.830 m from the floor.
The winner of the competition wants to know if he has broken the world speed record for the break shot of 32 mph (about
14.3 m/s). If the winner's ball landeda distance of d 4.35 m from the table's edge, calculate the speed of his break shot v
Assume friction is negligible.
m/s
At what speed v1 did his pool ball hit the ground?
m/s
V1=
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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 shown in the figure. d The surface of the pool table is h 0.830 m from the floor. The winner of the competition wants to know if he has broken the world speed record for the break shot of 32 mph (about 14.3 m/s). If the winner's ball landeda distance of d 4.35 m from the table's edge, calculate the speed of his break shot v Assume friction is negligible. m/s At what speed v1 did his pool ball hit the ground? m/s V1=

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Expert Answer

Step 1

Given:

Vertical distance travelled by ball (h) = -0.83 m. (negative sign shows that ball move downwards)

Horizontal distance travelled by ball (d) = 4.35 m.

Initial horizontal velocity of ball = vo

Initial vertical velocity of ball = uy = 0

Final velocity of ball at which it hit the ground = v1

h0.83m
d-4.35m
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h0.83m d-4.35m

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Step 2

Formula used:

Newton’s 1st equation of motion,

Newton's 2d equation of motion
1
S = ut + at
2
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Newton's 2d equation of motion 1 S = ut + at 2

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Step 3

In this problem, horizontal acceleration of ball is zero and vertical ...

a =g
negative sign denotes the direction of acceleration
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a =g negative sign denotes the direction of acceleration

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Newtons Laws of Motion

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