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Kinematics (Part 2). Textbook Chp 2, Pg 27-38. Math Lesson!. Calculus for Kinematics. Kinematics Graphs. Displacement-Time Graph Gradient → Velocity Velocity-Time Graph Gradient → Acceleration Area under graph → Displacement
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Kinematics (Part 2) Textbook Chp 2, Pg 27-38
Math Lesson! Calculus for Kinematics
Kinematics Graphs • Displacement-Time Graph • Gradient → Velocity • Velocity-Time Graph • Gradient → Acceleration • Area under graph → Displacement • Note: “area under graph” below horizontal axis is negative displacement!
Uniform & Non-Uniform Acceleration • Definition: Uniform acceleration is a constant rate of velocity • E.g. Freefall, ignoring air resistance • You are required to interpret and describe situations where acceleration is uniform as well as non-uniform (i.e. non-constant acceleration)
Instantaneous Speed / Velocity / Acceleration • Instantaneous speed / velocity / acceleration refers to the velocity / acceleration at a single instant in time. • Instantaneous speed / velocity is often contrasted against average speed / velocity. • In a kinematics graph, this refers to a single point on the graph. • E.g. Po and Shifu falling. Even though their velocity changes over time (because they are accelerating), at any one time, their instantaneous velocity are always equal to each other.
Summary • Distance vs Displacement • Speed vs Velocity • Average Speed vs Average Velocity • Acceleration • Free Fall (ignoring air resistance) • Displacement-Time Graph • Gradient → Velocity • Velocity-Time Graph • Gradient → Acceleration • Area under Graph → Displacement • Uniform & Non-Uniform Acceleration • Instantaneous Speed / Velocity / Acceleration • Reading & Describing of Graphs
Assignment • Due Wed 10 Apr **IN CLASS** • Textbook: Pg 47-48 • Section A Q1-4 • Section B Q2-4 • Estimated time to complete: 45 min • Do on Foolscap Paper