Kinematics and Integration
Using integration to find displacement and velocity from acceleration-time functions.
About This Topic
Using integration to find displacement and velocity from acceleration-time functions.
Key Questions
- How do we find velocity given an acceleration function?
- What is the difference between displacement and total distance travelled?
- How do initial conditions affect our kinematic equations?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Additional Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Calculus - Integration Techniques and Applications
Integration as the Reverse of Differentiation
Understanding the fundamental theorem of calculus and finding indefinite integrals of polynomials.
8 methodologies
Integrating Advanced Functions
Techniques for integrating trigonometric, exponential, and linear composite functions.
8 methodologies
Definite Integrals and Area
Evaluating definite integrals to find the area under a curve and between a curve and an axis.
8 methodologies