This document discusses key concepts of displacement, velocity, and their relationships. It defines displacement as the change in position of an object, and distinguishes between displacement and distance traveled. Velocity is defined as the rate of change of an object's position and is calculated as total displacement over the time interval. The document contrasts velocity, which includes both magnitude and direction of motion, with speed, which only refers to magnitude. It provides equations for calculating displacement, average velocity, and using graphs of position over time to determine velocity.

1. Displacement and Velocity
pg 40 - 46

2. Objectives
The student will be able to:
•describe motion in terms of displacement, time and
velocity
•calculate the displacement of an object traveling at a
known velocity for a specific time interval
•construct and interpret graphs of position versus time

3. Displacement
Displacement: the change in position of an object
Units: meters (m)
Symbol: Δx
When an object is at rest, its displacement is zero
because its position does not change.

4. Displacement vs Distance
If you were to describe the trip from your home to school,
you would describe all the twists and turns in your journey.
However, the displacement is the same no matter what
route you take to school.
Any path connecting your house and the school will result in
the same displacement.

5. Coordinate Systems
Coordinate System: a system the uses coordinates to
establish position
In this first unit, we will be working in one dimension, which
means we'll only be measuring in one direction (left and
right, up and down, north and south, etc.)

6. Displacement Equation
Δx = xf - xi
The values xf and xi represent the final position and initial
position.
The xf and xi are determined by their positions on the
coordinate system.

7. Negative and Positive
Displacement can be positive or negative.
Displacement is an example of a quantity that has both a
magnitude (size) and a direction.
The direction of the displacement is designated by the sign
(positive or negative.)
We will say that displacements to the left and down are
negative and displacements to the right and up are positive.

8. Average Velocity
Average Velocity: total displacement divided by the time
interval during which the displacement occured
Units: meters/second (m/s)
Symbol: vavg

9. Velocity Equation
vavg =
Δx
Δt
xf - xi
tf - ti
=
Like displacement, velocity has a magnitude and a
direction. The sign of the displacement indicates
direction.
An object travelling to the left or down has a
negative velocity, and an object travelling to the
right or up has a positive velocity.

10. Velocity vs Speed
Velocity indicates how fast something is traveling, and the
direction in which it is traveling.
Speed, however, has no associated direction.
The average velocity depends on displacement, but the
average speed is equal to the distance traveled divided by
the time interval.

11. Graphing Velocity
On a position versus time graph, the slope of the line
connecting one point and the next indicates the average
velocity.
slope =
change in vertical
change in horizontal
vavg =
Δx
Δt

12. Homework
Pg 69-70, # 1, 2, 6, 9, 10, 11, 14