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S = contains supplemental resources
Course: Calculus I
Topic: Derivatives
Subtopic: Motion and the Derivative

Overview

Calculus is the study of change and motion. Derivatives are one way of quantifying motion. In today's lesson we use the derivative to study motion, in particular position, velocity, and acceleration. These are important applications of the first and second derivative especially to physics and biology majors.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 2.3.1 Understand the difference between average velocity and instantaneous velocity and know which is given by the derivative
• 2.3.2 Understand the position function and its notation
• 2.3.3 Understand the height function and its notation
• 2.3.4 Given a position function, find the velocity and acceleration functions
• 2.3.5 Understand that velocity and acceleration are rates of change
• 2.3.6 Know the difference between velocity and speed
• 2.3.7 Use appropriate units of measurement when giving numeric answers to position, velocity, and acceleration problems

Terminology

Define: average velocity, instantaneous velocity, position function, velocity, acceleration, speed, height function

Supplemental Resources (optional)