Equation Sample Problem

Charlie flew from Phoenix to Tucson, a distance of 120 miles, at a constant speed of 120 mph. He then returned at a constant speed of 60. mph. What was his:

a. trip distance? _____________ b. average speed?____________ c. displacement? _____________ d. average velocity?____________

Motion Map

Each arrow is a moment in timeFlashbulb and apple

Length of arrow tells us velocity When changing direction, arrows move up Begin to read motion maps from the

lowest dot that has no arrow pointing to it

Steps to writing a motion map

A student walks away from her desk for 5 seconds.

Pick a origin Decide where the object starts in relation to the

origin Decide on the amount of time between dots Draw your arrows

Example

Group Problem 1

Draw a motion map for the following objects motionA car is stopped at a stoplight. When the light

turns green, the car moves at 3 m/s away from the stoplight.

Answer

Where is your origin? Is the velocity positive or negative?

Sample Problem 2

A cyclist is moving with a velocity of 4 m/s towards a large tree. Upon reaching the tree, the cyclist quickly turns around and rides away at 6 m/s.Where is my origin?

Group Problem

Draw a velocity vs time, and position vs time based on the following motion map

t = 0

Answer

Qualitative or Quantitative?

Graphs Continued

Slope tells velocity How can you find position from velocity vs

time graph?

Example problem

Group Work

Create a x vs t graph, and a motion map for the v vs t graph given.

What is the total displacement of the object?

Object moves with constant positive velocity for 4 seconds. Then, it stops for 2 seconds and returns to the initial position in 2 seconds.

Create a x vs t graph, v vs t, and motion map for the description given given.