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Describing Motion The graphs… Game
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To begin, consider a car moving with a constant, rightward (+) velocity of 10 m/s
What would a Position vs Time graph of this motion, look like?
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Now consider a car moving with a changing, rightward
(+) velocity that is, a car that is moving rightward and speeding up or accelerating. And the graph’s shape is?
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The slope of the line on a position-time graph is the velocity of the object.
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And the slope is…
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= 0.5 m/s Same for A and B = 0.5 m/s a = 0 m/s2
Example A car moves in a straight line and its odometer readings are plotted against time. a. Find the speed of the car at points A and B. = 0.5 m/s B Same for A and B A b. What is the car's average speed? = 0.5 m/s c. What is its acceleration? a = 0 m/s2
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Let’s compare the motions shown here
Compare the velocity of the red line to the… Green line Blue line Orange line Black line And this trip shows?
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What if the shape of the graph is a curve?
A curve shows a changing velocity or acceleration. Slope of a curve? V1 = (23m -18m) = 10m/s (3.5s -3.0 s) (3.0s, 18m) and (3.5s, 23m) V2= (9m - 6m) = 5 m/s (2.0s - 1.4s) (1.4s, 6m) and (2.0s, 9m)
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What shows the instantaneous speed in the car?
The instantaneous velocity of an object at a certain time is the slope of the position (displacement) versus time graph at that time. It can be positive, negative, or zero. What shows the instantaneous speed in the car?
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Describing Motion The graphs… Homework: Graphing Motion #1
NOT!! Be ready next class for 2 wkshts instead of one.
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The Sonic Ranger Lab In this lab you will measure your motion with a sonic motion detector. The motion detector emits sound waves and then detects them after they have reflected off of some object (such as you or your lab partners!). A computer then records distance from the detector to the object as a function of time. You will practice making and interpreting position-time graphs.
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