motion and speed notes 10/23. motion: a change in position

Motion and Speed Notes 10/23

• Motion: a change in position

• Motion: a change in position

• Speed: rate of change in position (rate of motion)

Types of Speed

• Instantaneous speed: rate of motion at a given instant/moment (ex. speedometer)

Types of Speed

• Instantaneous speed: rate of motion at a given instant/moment (ex. speedometer)

Types of Speed

• Instantaneous speed: rate of motion at a given instant/moment (ex. speedometer)

• Average speed: rate of motion over a period of time (ex: miles per hour)

Types of Speed

• Instantaneous speed: rate of motion at a given instant/moment (ex. speedometer)

• Average speed: rate of motion over a period of time (ex: miles per hour)

• Constant speed: speed that does not vary

Calculating speed

• Rate of speed = distance traveled/time it takes

• r = d/t

Some practice problems (complete in your journal):

1. Distance traveled = 10 miles, time it took = 4 minutes. What is the rate of speed?

2. John drives to school every day. It takes John 15 minutes to drive to school, and the distance he travels is 4.5 miles. What is his speed? Is this instantaneous or average speed?

3. It takes Ms. Radenska 3 hours to hike 7 miles. What is her rate of speed?

Graphing Speed

• Time – x-axis

Graphing Speed

• Time – x-axis

• Distance – y-axis

Graphing Speed

• Time – x-axis

• Distance – y-axis

• Slope of the line = rise/run = distance/time

Graphing Speed

• Time – x-axis

• Distance – y-axis

• Slope of the line = rise/run = distance/time = rate of speed

Example of speed graph

Example of speed graph1. What are the

units for time?

Example of speed graph1. What are the

units for time?

2. For distance?

Example of speed graph1. What are the

units for time?

2. For distance?

3. What distance has been traveled after 10 minutes? 15? 20?

Example of speed graph1. What are the

units for time?

2. For distance?

3. What distance has been traveled after 10 minutes? 15? 20?

4. What is the rate of speed?

Example of speed graph1. What are the

units for time?

2. For distance?

3. What distance has been traveled after 10 minutes? 15? 20?

4. What is the rate of speed?

5. Is this a

constant rate of speed?

Another speed graph

Now for some graphing practice…

• Juanita is running for the track team. It takes her 13 seconds to run 100 meters, 26 seconds to run 200 meters, 39 seconds to run 300 meters, and 52 seconds to run 400 meters.

• Make a distance (y-axis) vs. time (x-axis) graph using the information above. Then, calculate Juanita’s rate of speed.