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UAT-UK SPEC: P3MODULE: PHYSICSTOPIC ID: ARCH-P-04

1D Multi-Stage Kinematics (v–t Graph Areas/Gradients) & Constant-Acceleration SUVAT

Master 1D Multi-Stage Kinematics (v–t Graph Areas/Gradients) & Constant-Acceleration SUVAT on the ESAT Physics paper. Traditional classroom derivations waste valuable seconds. Using the 2-step Sub-90 invariant elimination method compresses solve time to 40s, saving +105s per question.

Standard Classroom Time
145s
Textbook multi-line derivations bleed exam clock
Sub-90 Target Pace
40s
Comfortably below the 88.8s per-question limit
Time Saved for Review
+105s
Banks clock buffer across 27 questions

2-Step Sub-90 Shortcut Formula

How to eliminate intermediate algebra and solve under 45 seconds.

Launch Interactive Lesson
STEP 1 • SETUP INVARIANT (LINE 1)10–15s
Line 1 (Isolate Right Triangle): Deceleration occurs only from t=40 st = 40\text{ s} to 60 s60\text{ s} (Δt=20 s\Delta t = 20\text{ s}).

Establish the structural invariant and eliminate impossible options immediately.

STEP 2 • FAST SOLVE (LINE 2)15–25s
Line 2 (Triangle Area): s=12×20×20=200 ms = \frac{1}{2} \times 20 \times 20 = 200\text{ m} (25s).

Evaluate the simplified expression using integer factoring or unit elimination.

Distractor Trap Forensics

The predictable cognitive traps engineered by examiners into the wrong options.

TRAP #1factor_of_two_or_stoichiometry_trap

Calculating triangle area under v-t graph as v*t instead of (1/2)*v*t, or using v² - u² = as instead of 2as

Omitting the factor of 1/2 in s = (1/2)(u+v)t or 2 in v² = u² + 2as.

Sub-90 Fix: Test invariants before expanding equations.
TRAP #2sign_or_direction_flip

Adding areas above and below the time axis when asked for net displacement (or subtracting when asked for total distance)

Confusing scalar total distance with signed vector displacement on a v-t graph.

Sub-90 Fix: Test invariants before expanding equations.
TRAP #3subsystem_isolation_trap

Dividing final velocity by total time when acceleration is only active for part of the motion

Mixing constant-velocity cruise time with acceleration time.

Sub-90 Fix: Test invariants before expanding equations.

Try 1 Timed Question: 1D Multi-Stage Kinematics (v–t Graph Areas/Gradients) & Constant-Acceleration SUVAT

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Full Lesson All 15 Questions (ARCH-P-04)
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ARCH-P-04: 1D Multi-Stage Kinematics (v–t Graph Areas/Gradients) & Constant-Acceleration SUVAT (Sample)Physics
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SUB-90 ZONE (<35S)
0.0s35s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-P-04 (6-Card Lesson)Format: Standard 5-Option
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Question 1 of 1 • 90s Target

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