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SCIENCE · INVESTIGATE AND EXPLAIN

Interpret boundary motion and its limits

Separate across-boundary and along-boundary motion before inferring a tectonic setting.

Learning outcome: Classify local relative motion while withholding unsupported claims about subduction and hazards.

Starting recap

The diagram uses a straight north-south boundary. A lies west and B east; positive across motion means B moves east relative to A.

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Try

Across -3 and along 4 cm/year gives oblique convergence, even though the total relative speed equals that of across 3 and along 4.

Open the experiment

Predict

Can two settings have identical relative speed but different boundary-motion classifications?

Experiment

Compare (3, 4), (-3, 4), (0, 4) and (0, 0) cm/year. Capture contrasting cases and identify which component changes the boundary classification.

Resolve relative plate motion

Worked teaching model · synthetic values · Synthetic local planar model of a straight north-south boundary. A is west of B; positive east motion of B relative to A is separation, and positive north motion is along the boundary. In the chosen frame A moves (2 east, 1 north) cm/year; B equals A plus the selected relative components. The 5-million-year projection holds rates, orientation and reference axes constant. It is relative displacement, not a forecast of coastlines, ocean width, boundary migration or earthquake timing. No forces, elastic locking, crust type, subduction geometry, rotations or measurement uncertainties are simulated.

Reset keeps your prediction, captures and practice history.

North ↑ · East → · arrows: 14 drawing units per cm/year · outlines not to distance scalePlate A (west)Plate B (east)A: (2 east, 1 north) cm/yearB: (5 east, 5 north) cm/yearSubtract A from B: (3 east, 4 north) cm/year · Oblique divergent
B relative to A · solid resultant, dashed components · same velocity scale as above+ East+ NorthComponents: (3, 4) cm/year · magnitude: 5.000 cm/year
Velocities in the chosen frame and relative motion
VectorEast (cm/year)North (cm/year)Magnitude (cm/year)
A in chosen frame212.236
B in chosen frame557.071
B relative to A345.000
Relative displacement (km) · constant-rate scenario, not reconstructed historySolid: east componentDashed: north component-300-1500150300012345Elapsed scenario time (million years)
Conditional displacement with units kept explicit
Time and assumptionEast componentNorth componentMagnitude
10 years, unchanged relative velocity30 cm40 cm50.000 cm
5 million years, unchanged relative velocity150 km200 km250.000 km

Across-boundary motion determines separation or convergence in this local geometry; along-boundary motion adds sliding. These components do not identify crust type, the downgoing plate, fault locking or the time of an earthquake.

Oblique divergent local motion; relative speed 5.000 cm/year.

B − A = (3 east, 4 north) cm/year. Over 5 million years at unchanged rates: (150 east, 200 north) km relative displacement. Negative components point west or south; a magnitude alone cannot classify the boundary.

Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.

Understand

Resolve motion across and along the boundary

The same diagonal arrow can have different meanings beside differently oriented boundaries. Here the boundary is deliberately straight and north-south. Its perpendicular, or normal, direction is east-west; its parallel direction is north-south. Plate A is west of the line and B is east. This geometry is part of the experiment, not something inferred from the sliders.

A positive across-boundary component means B moves east relative to A, away across the boundary. A negative component means B moves west relative to A, toward the boundary from its side. The along component records northward or southward sliding relative to A. Read both components before reducing the result to a single category.

Compare equal speeds with different relationships

At across 3 and along 4 cm/year, the selected motion is oblique divergence: it combines separation across the boundary with motion along it. Change across to −3 while leaving along at 4. The speed remains 5 cm/year, but the relationship becomes oblique convergence. The sign change reverses the normal motion without removing the parallel part.

Capture both cases. Explain why their equal diagonal lengths do not make their boundary behavior identical. A magnitude discards directional information, so a table containing only speed could conceal this distinction. In your record, preserve the signed components and the stated boundary orientation alongside the speed.

Now set across to zero and along to 4. This is transform-style relative motion in the ideal local geometry: sliding parallel to the boundary without a normal component. Set both to zero to distinguish this from no relative motion. Finally, set along to zero and across to −3. The model now has convergence without an along-boundary component.

The three familiar boundary families describe divergence, convergence and relative sliding. Real boundary zones can distribute deformation among several structures; a single straight line is a simplification. The National Park Service describes transform settings as zones of lateral motion that can include multiple faults. NPS discussion of transform plate boundaries.

Do not let the largest component erase the other one

Try across 1 and along 6 cm/year. Along-boundary motion dominates the arrow’s appearance, but the normal component is still positive. The modeled motion remains oblique divergence. Saying “mostly parallel” can be a useful description; calling it pure transform motion would erase the supplied normal component.

On paper, draw a long northward arrow and a short eastward arrow joined at a right angle. Then draw their resultant. Annotate each with its units. This construction makes the small component visible even when the diagonal looks nearly parallel to the boundary. Compare it with an exactly vertical arrow for across zero and explain the qualitative difference.

The settings are exact in this exercise. With measurements, a small normal component could require uncertainty analysis before deciding whether it differs meaningfully from zero. The browser does not supply measurement errors, so do not invent a confidence interval or interpret slider resolution as instrument accuracy.

Convergence does not identify a subsurface structure

Convergent settings include subduction systems and continental collision. Establishing which setting applies requires geological information beyond the sign of a surface velocity component. The model does not specify crust type, buoyancy, plate thickness or a descending slab. Therefore it cannot decide which plate goes beneath another, or whether the selected setting represents continental collision. NPS overview of convergent settings.

Make a claim-and-evidence ledger for the (−3, 4) case. “Oblique convergence in the supplied geometry” follows from the signed components. “A subducts eastward beneath B” requires additional evidence and is not established. Possible evidence to investigate includes crustal structure and the geometry of earthquake locations, rather than merely a faster slider setting.

Neither the velocity magnitude nor the label predicts an earthquake date. This model has no stress accumulation, fault locking, rupture threshold or event history. A steady relative-motion arrow is not a promise of smooth motion on every fault, and a zero setting in this fictional case says nothing about the safety of a real site.

Transfer: decide what changes

Compare two cases with across −2 cm/year: one has along 5 and the other along −5. Which boundary description stays the same, which directional statement reverses, and can either case identify the subducting plate?

Check the plate-boundary transfer

Both are oblique convergence because the across component is negative and the along component is nonzero. Northward relative sliding becomes southward relative sliding. The speeds are equal, √29 cm/year, but the vectors differ. Neither setting specifies a subducting plate; the required geological structure is absent.

Apply

Across-boundary motion is -3 cm/year and along-boundary motion is 4 cm/year. The supplied geometry supports:

Public practice checks a specific claim. It does not establish independent mastery.

Separate motion classification from geological mechanism. Name evidence needed to distinguish a subduction setting from continental collision and explain why speed cannot predict an earthquake date.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

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