September 10th SWBAT create & analyze position vs. time graphs.

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Presentation transcript:

September 10th SWBAT create & analyze position vs. time graphs. Motion Graphs & Maps September 10th SWBAT create & analyze position vs. time graphs.

Is Car A or Car B faster? How do you know this? DO NOW QUESTION Is Car A or Car B faster? How do you know this?

Position vs. Time Graphs Is Car A or Car B faster? Car A… …because it covers more distance in the same amount of time… …it has a steeper slope

September 10th SWBAT create & analyze position vs. time graphs. Motion Graphs & Maps September 10th SWBAT create & analyze position vs. time graphs.

Position vs. Time Graphs Motion graphs are an important tool used to show relationships between variables like position, velocity, acceleration, and time.

Slope can be used to calculate velocity. The slope of a line is sometimes called “rise over run.” We calculate the slope with the equation.

Calculate the slope of Car A… Find two points. Set-up formula Calculate

RULES of Motion Graphs: The steeper line has larger velocity A straight line means constant velocity

3. A curved line means changing velocity, or acceleration. Object is slowing down Object is speeding up

Is velocity the same as speed? Velocity and speed are similar, but there is an important difference… Velocity is speed with direction.

Average vs. Instantaneous velocity Average velocity – velocity across some amount of time. Instantaneous velocity – velocity at one INSTANT.

Average vs. Instantaneous velocity Ex: You drive to school at 30 mph for the first five minutes, and 40 mph for the last five minutes. Instantaneous velocity in minute 3 = … 30 mph Average velocity for the whole trip = … 35 mph

He starts at position… 20 m

2) From 0-1 second, he walks… 0 m in 1 s.

3) His position… does not change.

4) From 1-3 seconds, he walks… 40 m in 2 s.

away from his starting position. 5) He is walking… away from his starting position.

6) From 3 – 4.5 seconds, he walks… 0 m in 1.5 s.

7) From 4.5 – 6 seconds, he walks… 40 m in 1.5 s.

toward his starting position. 8) He is walking… toward his starting position.

Motion Maps Sometimes we use circles and arrows to compare the motion of two objects. Long arrows mean fast motion (the object is getting to the position faster) Short arrows mean slower motion Arrows can also show direction.

Example: Eagle vs. Turtle

Motion Maps: Eagle Turtle

Graph Time Distance

Constant Velocity Graph Motion Maps: Constant Velocity Graph Time Distance

Draw a Motion Map that Represents these 2 objects:

Constant Velocity Graph Motion Maps: Constant Velocity Graph Time Distance