Technique Masterclasses

Mechanics 1

Topic Brief: Kinematics Constant Acceleration Two Stage Motion

Provenance: written 2026-09-29. No new primary-source mining was done for this document — every citation is reused from, and re-checked against, three existing sources: research/veridian/WME01-verified-facts.md §3–§4 topic 3 and §9's lesson-audit entry (the provenance-checked primary-source quotes), codex-deep-dive-kinematics-constant-acceleration-two-stage-motion.md §5–§6 (the fullest existing per-series breakdown, re-sorted here rather than restated), and signal-frequency-and-boundaries.md §1 (the paper-wide mark table, read for spec-3.1 values only). The "17 series checked" denominator is WME01-verified-facts.md §5's own count of distinct series with a genuine primary document reviewed for this paper. This document's job: one series-indexed, mark-tariff-aware brief for this single sub-topic — no new fact is introduced.

SIGNAL · WME01 Topic Master Brief — Kinematics: Constant-Acceleration Two-Stage Motion

For the derivations, the worked chain, and the full theoretical treatment, use the lesson file and codex-deep-dive-kinematics-constant-acceleration-two-stage-motion.md. This document does one thing only: for this specific sub-topic, which real series tested it, at what mark tariff, in what recurring shape, and what to expect if it shows up on your paper.

1. Series index

Six distinct series, out of the 17 with a genuine primary document reviewed for WME01, contribute to this topic family. Read the narrow and broad rows separately — they are not the same claim.

Sub-caseSeen inSeries (question)Real context
Core trap — one suvat equation run across two genuinely different acceleration phases2 of 17Jan 2023 (Q5), Jun 2024 (Q5, 14 marks)A vehicle in two distinct phases (P→Q→R); a falling box that then decelerates under a parachute
Second stage cut short by a stated boundary, not run to rest2 of 17Jun 2024 (Q5, same question, part (b)/(d)); Jan 2023 (Q5, same question, part (c))Landing speed scored at the ground, not v=0v=0; distance asked for at a stated tt, not at natural stop
Connected-particles-then-free-motion hybrid (spec 4.2 combo, same handover discipline)2 of 17Jan 2025 (Q7, 15 marks, shared with 4.2), Jun 2025 (Q8, 17 marks, shared with 4.2)A pulley system runs, then one particle continues under gravity alone — owned primarily by the connected-particles lesson, listed here because the trap is identical
Three-phase v-t graph, one phase's duration unknown (TT), solved via total area1 of 17Jan 2023 (Q1)Accelerate, cruise, decelerate over a stated total distance
Two particles under the same acceleration model, offset start times1 of 17Jan 2020 (Q3)One particle released after the other; candidates compared displacements at inconsistent values of tt
Quadratic root outside the motion's valid time domain1 of 17Oct 2019 (Q6)A suvat-derived quadratic has two roots; one is not physically reachable

The core trap and its boundary sub-case are the same two questions (Jan 2023 Q5, Jun 2024 Q5) read for two different parts, not four independent confirmations. As one trap family, "two-stage motion where a single suvat equation silently spans two different accelerations" is confirmed in 2 of the 17 series checked; widened to include the connected-particles hybrid, 4 of 17; widened again to every adjacent angle in the table, 6 of 17.

2. Mark-tariff pattern

Only three of the six series above have a documented total mark value for the anchor question, and this brief states only those three rather than guessing at the rest:

No mark total for Jan 2023 Q5, Jan 2023 Q1, Jan 2020 Q3, or Oct 2019 Q6 was located in the sources checked — a gap in what has been recorded, not a claim about the topic's importance. What the three known figures do support: every time this topic (plain or hybrid) has a recorded mark total, it has been a substantial, multi-part allocation (14–17 marks), never a short 4–6 mark item. Three data points is not enough to call that a rule for every series, only a real, narrow pattern in what has actually been checked.

3. Recurring context and angle

Two real trigger-shapes account for every core-trap citation above:

  1. A stated physical event splits the motion — a force added or removed, a surface change, a parachute deploying, a string going slack. Confirmed in Jan 2023 (Q5) and Jun 2024 (Q5), and in the hybrid form in Jan 2025 (Q7) and Jun 2025 (Q8).
  2. The second stage is cut off by a stated distance or time, not by the particle coming to rest. Confirmed in the same two anchor questions (Jun 2024 Q5's ground boundary; Jan 2023 Q5's stated tt).

The three single-series adjacent angles are each a different discipline riding on the same "carry a value across a boundary" skeleton — an unknown time solved from total area (Jan 2023 Q1), an unknown origin for a second clock (Jan 2020 Q3), and an unknown domain for a solved variable (Oct 2019 Q6) — not the same trap as the two-stage core, and not claimed as such.

4. If this topic appears — what to expect

Genuine gaps, flagged