## Lesson 1: Motion and Motion Graphs

## Overview:

This lesson will help review some of the topics that you have studied in Grade 11 Physics, in particular kinematics. It will focus on how to analyze motion by graphical analysis and a small introduction of how to use vectors in redefining the terms of position, displacement, velocity, and acceleration. This lesson may seem long at first, full of activities, but it is intended for review, if you background is strong you can skip through some of the learning activities at your own discretion.

## Curriculum Expectations:

**Overall Expectations:**

**B1.**Analyse technological devices that apply the principles of the dynamics of motion, and assess the

technologies’ social and environmental impact.

**Specific Expectations:**

**B1.1**Analyse a technological device that applies the principles of linear or circular motion

(e.g., a slingshot, a rocket launcher, a race car, a trebuchet).

**B2.1**Use appropriate terminology related to dynamics, including, but not limited to: inertial and non-inertial frames of reference, components, centripetal, period, frequency, static friction, and kinetic friction.

**B2.2**Solve problems related to motion, including projectile and relative motion, by adding and subtracting two-dimensional vector quantities, using vector diagrams, vector components, and algebraic methods.

## Success Criteria:

- Make a comparison between scalar and vector quantities.
- Define the displacement vectors.
- What is the difference between speed and velocity? What is average speed?
- What is the difference between average velocity and velocity?
- Define a secant line, and use it to describe how you would calculate the average velocity in a position vs. time graph.
- Define a tangent line, and use it to describe how you would calculate the instantaneous velocity in a position vs. time graph.
- In a position vs. time graph, what does the slope of the secant line represent? What if instead you use the slope of the tangent line?
- Is it possible to have average acceleration equal to instantaneous acceleration?

## Time Allocation: 2 hours

## Learning A

ctivities:**Read**pages 8 - 15 from Nelson 1.1

The Moving ManLearn about position, velocity, and acceleration graphs. Move the little man back and forth with the mouse and plot his motion. Set the position, velocity, or acceleration and let the simulation move the man for you. |

In the playlist below, video:

- Will explain the definition vector and the difference between a scalar and vector.
- Will explain the graphing position of x vs t graph of an accelerating and decelerating train.
- Will explain the graphing velocity of v vs t graph of an accelerating and decelerating train.
- Will explain the graphing acceleration of a vs t graph of an accelerating and decelerating train.
- Will summarize of the distance (x), velocity (v), and acceleration (a) vs t graph of an accelerating and decelerating train.
- Will explain the definition of dx/dt.

## Task:

**Solve**questions 3, 7, 8, and 9 from Nelson 1.1 Review on page 16.

## Reflect:

Explain circumstances in which an object would be accelerating but have an instantaneous velocity of zero?