3) Since we are treating light as a particle, it is appropriate to consider a pool ball bouncing off the edges of a pool table as analogous to reflection of a light particle from a mirror. Consider the pool table and cue ball shown below. The table is 8' x 4' and the spacing between white marks along the outer cushion of the table is 1'. Imagine that you want to hit the cue ball in such a way as to hit the ball located near the top middle pocket. Based on the locations of the other balls, you determine that the only way to do this is to "double bank" the ball off two sides as shown below. If you estimate that you must hit the first side at a point 3 1/3 feet from the cue ball, determine the angle O which the cue ball will make as it is approaching the other ball. 8' 1' 1' 10 Cue Ball 4' 90 3 1/3'

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Chapter1: Units, Trigonometry. And Vectors
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3) Since we are treating light as a particle, it is appropriate to consider a pool ball bouncing off the edges
of a pool table as analogous to reflection of a light particle from a mirror. Consider the pool table and cue
ball shown below. The table is 8' x 4' and the spacing between white marks along the outer cushion of the
table is 1'. Imagine that you want to hit the cue ball in such a way as to hit the ball located near the top
middle pocket. Based on the locations of the other balls, you determine that the only way to do this is to
"double bank'" the ball off two sides as shown below. If estimate that you must hit the first side at a
point 3 1/3 feet from the cue ball, determine the angle O which the cue ball will make as it is approaching
the other ball.
you
8'
1'
1'
100
C45
4'
53°
Cue Ball
65°
Mi
90
120°
3 1/3'
data
Transcribed Image Text:3) Since we are treating light as a particle, it is appropriate to consider a pool ball bouncing off the edges of a pool table as analogous to reflection of a light particle from a mirror. Consider the pool table and cue ball shown below. The table is 8' x 4' and the spacing between white marks along the outer cushion of the table is 1'. Imagine that you want to hit the cue ball in such a way as to hit the ball located near the top middle pocket. Based on the locations of the other balls, you determine that the only way to do this is to "double bank'" the ball off two sides as shown below. If estimate that you must hit the first side at a point 3 1/3 feet from the cue ball, determine the angle O which the cue ball will make as it is approaching the other ball. you 8' 1' 1' 100 C45 4' 53° Cue Ball 65° Mi 90 120° 3 1/3' data
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