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 experimentPredict
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.
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| Vector | East (cm/year) | North (cm/year) | Magnitude (cm/year) |
|---|---|---|---|
| A in chosen frame | 2 | 1 | 2.236 |
| B in chosen frame | 5 | 5 | 7.071 |
| B relative to A | 3 | 4 | 5.000 |
| Time and assumption | East component | North component | Magnitude |
|---|---|---|---|
| 10 years, unchanged relative velocity | 30 cm | 40 cm | 50.000 cm |
| 5 million years, unchanged relative velocity | 150 km | 200 km | 250.000 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
Apply
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.
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