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AP Physics 2
14.6 Wave Interference and Standing Waves
14.1 Properties of Wave Pulses and Waves
AdvancedMCQGraphicalMathematicalConceptual21.1k
A Cartesian coordinate system with a horizontal x-axis and a vertical y-axis. The horizontal axis has tick marks labeled -4d, -2d, 0, 2d, and 4d. The vertical axis has tick marks labeled +A, 0, and -A. In the region from x = -4d to x = -2d, a solid line triangular pulse sits above the axis, rising linearly from 0 at x = -4d to +A at x = -2d, then dropping vertically to the axis at x = -2d. A horizontal rightward arrow above this pulse is labeled v. In the region from x = 2d to x = 4d, a solid line triangular pulse sits below the axis, dropping vertically from 0 to -A at x = 2d, then rising linearly to 0 at x = 4d. A horizontal leftward arrow above this pulse is labeled v. No other labels, lines, text, or axes appear.
Two asymmetric wave pulses on a string approaching each other at time t = 0.
Two wave pulses, each of length \(2d\) and propagating at constant speed \(v\), travel toward each other along a horizontal string as shown.

At time \(t = 0\), the positive pulse extends from \(x = -4d\) to \(x = -2d\) traveling to the right with its maximum displacement \(+A\) at \(x = -2d\), and the inverted pulse extends from \(x = 2d\) to \(x = 4d\) traveling to the left with its minimum displacement \(-A\) at \(x = 2d\).

Which of the following best describes the qualitative graph of the string displacement \(y\) as a function of position \(x\) at time \(t = \dfrac{3d}{v}\), when the two pulses occupy the interval \(-d \le x \le d\)?

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