Amplitude vs. Midline: Why the Highest Point Is Not the Amplitude
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Amplitude vs. Midline: Why the Highest Point Is Not the Amplitude
10 просмотров · 9 дней назад
Math Is Art
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10 просмотров · 9 дней назад
A wave reaches 18 inches. Is its amplitude really 18? Watch the moving point and its height graph reveal why the middle matters.
Learn to calculate the midline from the average of the maximum and minimum, then find amplitude as half the vertical range. We work through a tire and a vibrating guitar string, including negative positions and checks at both extremes.
Practice focus: AP Precalculus-level sinusoidal models and graph interpretation.
Chapters
00:00 Is the maximum also the amplitude?
00:28 A turning wheel produces a height graph
01:02 Midline: average the two positions
01:41 Visual practice 1 - Find a distance
03:09 Practice 1 - Tire: read the clues
04:34 Shift versus stretch: different jobs
04:50 Practice 2 - Guitar: read the clues
06:02 One picture. Two different measurements.
Pause at each practice question and identify the keywords before following the solution. Which picture made the formula click for you?
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#Trigonometry #Precalculus #MathIsArt # Visual math