IP AMaths Notes (Upper Sec, Year 3-4): 19) Kinematics

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08 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 19) Kinematics cover?
A: Displacement, velocity, and acceleration relationships with calculus for IP AMaths motion problems.

Kinematics connects calculus with motion. Derivatives give velocity and acceleration; integration recovers displacement.

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These kinematics relationships align with the SEAB GCE O-Level Additional Mathematics (4049) syllabus: displacement–velocity–acceleration links via differentiation/integration, rest-time checks, and speed extrema within a stated interval.

Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.

Relationships

Velocity: $v = \dfrac{ds}{dt}$ .
Acceleration: $a = \dfrac{dv}{dt} = \dfrac{d^2 s}{dt^2}$

IP AMaths Notes (Upper Sec, Year 3-4): 19) Kinematics

Relationships

Worked example 1 - From velocity to displacement

Worked example 2 - Minimum speed on a given interval

Worked example 3 - Time to rest and distance travelled

Practice Quiz

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