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AP Physics 2
14.2 Periodic Waves
14.1 Properties of Wave Pulses and Waves
IntermediateMCQDrawing RepresentationsGraphicalMathematicalConceptual14.8k
A quantitative line graph with horizontal axis labeled x in meters and vertical axis labeled y in meters. The vertical axis ranges from -0.20 to 0.20 with major ticks at -0.10, 0, and 0.10. The horizontal axis ranges from 0 to 8 with major ticks at 0, 2, 4, 6, and 8. A single full cycle of a sine wave starts at (0, 0), reaches a maximum of 0.10 at x = 2, crosses zero at x = 4, reaches a minimum of -0.10 at x = 6, and returns to zero at x = 8. A label 't = 0 s' is located near the curve. No other labels, lines, text, or axes appear.
Graph 1: Snapshot graph y(x) at t = 0 s
A quantitative line graph with horizontal axis labeled t in seconds and vertical axis labeled y in meters. The vertical axis ranges from -0.20 to 0.20 with major ticks at -0.10, 0, and 0.10. The horizontal axis ranges from 0 to 4 with major ticks at 0, 1, 2, 3, and 4. A single full cycle of an inverted sine wave starts at (0, 0), reaches a minimum of -0.10 at t = 1, crosses zero at t = 2, reaches a maximum of 0.10 at t = 3, and returns to zero at t = 4. A label 'x = 0 m' is located near the curve. No other labels, lines, text, or axes appear.
Graph 2: History graph y(t) at x = 0 m
A transverse mechanical wave propagates along a stretched string. Graph 1 shows the displacement \(y\) of the string as a function of position \(x\) at time \(t = 0 \text{ s}\), and Graph 2 shows the displacement \(y\) of the string element at position \(x = 0 \text{ m}\) as a function of time \(t\). Which of the following correctly identifies both the speed and direction of propagation of the wave with valid physical reasoning?

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