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16.2 Exercise 19

Avg difficulty 2.5

Consider two waves defined by the wave functions y1(x,t)=0.50msin(2π3.00mx+2π4.00st)y_{1} \left(x , t\right) = 0.50 \text{m} \text{sin} \left(\frac{2 \pi}{3.00 \text{m}} x + \frac{2 \pi}{4.00 \text{s}} t\right) and y2(x,t)=0.50msin(2π6.00mx−2π4.00st).y_{2} \left(x , t\right) = 0.50 \text{m} \text{sin} \left(\frac{2 \pi}{6.00 \text{m}} x - \frac{2 \pi}{4.00 \text{s}} t\right) . What are the similarities and differences between the two waves?

OpenStax University Physics Volume 1, 16.2 Mathematics of Waves, exercise 19

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.