ARCH-P-04: 1D Multi-Stage Kinematics (v–t Graph Areas/Gradients) & Constant-Acceleration SUVAT

Full 15-Q Timed Drill

Step 1 of 6 • The Core Idea

ARCH-P-04: Why the 145s Classroom Method Fails Under the 90s Clock

Standard Classroom Method (Too Slow)~145s (Blows 90s Clock)

During the deceleration interval from

t = 40\text{ s}

t = 60\text{ s}

(

\Delta t = 20\text{ s}

), the acceleration is

a = \frac{0 - 20}{20} = -1\text{ m s}^{-2}

. Using

s = ut + \frac{1}{2}at^2

gives

s = 200\text{ m}

(~115s).

The Fast ShortcutTarget: 40s (Saves 105s)

Line 1 (Isolate Right Triangle): Deceleration occurs only from

t = 40\text{ s}

60\text{ s}

(

\Delta t = 20\text{ s}

).
Line 2 (Triangle Area):

s = \frac{1}{2} \times 20 \times 20 = 200\text{ m}

(25s).

Where Students Lose Time: In 12 past UAT-UK questions (5.15% of Physics), candidates lose 105s by omitting the factor of 1/2 in s = (1/2)(u+v)t or 2 in v² = u² + 2as. Instead, apply P3 with Maths 1 skill M4.14.

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