IP AMaths Notes (Upper Sec, Year 3-4): 19) Kinematics
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Displacement, velocity, and acceleration relationships with calculus for IP AMaths motion problems.
Last updated 30 Nov 2025
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- Start Here
- 1 Relationships
- 2 Worked example - From velocity to displacement
- 3 Worked example - Minimum speed on a given interval
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.
Start Here
| Read time | What to take away |
| 1 second | Kinematics links displacement, velocity, and acceleration through calculus. |
| 10 seconds | Differentiate displacement to get velocity and acceleration. Integrate velocity to recover displacement, then use the initial condition. |
| 100 seconds | Example: if v(t) = 12 - 6t, set v = 0 to find the rest time, then integrate v(t) to find displacement at that time. |
1 Relationships
- Velocity:
