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Proportional Reasoning: Why Braking Distance Scales with Speed Squared

Advanced Kinematics and Equations of Motion

10th Grade·Science·UK GCSE

Updated 1 month ago · 5 views

Use algebraic proportional reasoning to show that doubling vehicle speed quadruples braking distance.

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Public learning track

Advanced Kinematics and Equations of Motion

10th Grade · Science · UK GCSE

8 lessons

Goal

Apply the uniform acceleration equation v² - u² = 2as and solve complex multi-step kinematics problems.

8 lessons

0 of 8 done

The Uniform Acceleration Equation: v² - u² = 2asUp next
Calculating Stopping Distance Using v² - u² = 2asNot started yet
Calculating Final Speed of Objects Dropped from HeightNot started yet
Calculating Maximum Height Reached by Projected ObjectsNot started yet
Proportional Reasoning: Why Braking Distance Scales with Speed SquaredYou are here
Multi-Step Kinematics: Combining Constant Speed and Acceleration PhasesNot started yet
Handling Deceleration Signs in Kinematics FormulaeNot started yet
Exam Mastery: Higher Tier Motion Equation CalculationsNot started yet

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Learning standards covered

UK-GCSE-SCIENCE-PHYS-FM-04General Certificate of Secondary Education (GCSE) · Science · 10th Grade

Uses of mathematics

UK-GCSE-SCIENCE-PHYS-FM-04-01General Certificate of Secondary Education (GCSE) · Science · 10th Grade

make calculations using ratios and proportional reasoning to convert units and to compute rates (1c, 3c)

Open Global Standard:OGS.12.PS1.2

UK-GCSE-SCIENCE-PHYS-FM-04-04General Certificate of Secondary Education (GCSE) · Science · 10th Grade

apply formulae relating distance, time and speed, for uniform motion, and for motion with uniform acceleration, and calculate average speed for non-uniform motion (1a, 1c, 2b, 3c).

Open Global Standard:OGS.12.PS1.2