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**Representing Motion in a Variety of Ways**

Graphs: - Allows us to interpret motion without even seeing the motion occur What was the objectβs velocity (not speed) from 0-2 sec? +2 m/s Can we derive an equation for velocity from this graph? Or any other x-t graph? X f = vt + xi X f β Xi = vt π= (4πβ0π) 2 π π= 4 π 2 π =2 π/π ( π π β π π ) π‘ = V π= βπ π‘

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**Position-Time Graphs (x-t)**

Velocity from 2-3 seconds? π= 0 π 1 π =0 π/π Velocity from 3-7 seconds? π= ( π π β π π ) π‘ = (0 πβ4 π) 4 π = β4 π 4 π =β1 π/π

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**Motion Maps Another way to represent an objectβs motion**

We can go back and forth between graphs and motion maps to represent the same motion To make a motion map, you need to draw an arrow representing positive direction Constant positive velocity X Beginning of the arrow is the reference point (origin) If the object is moving, its position will change over time. If the object is stationary, its position will remain the same as time increases On a motion map, this is illustrated by a single dot on the position arrow

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**Motion Maps Object is stationary X**

An objectβs constant velocity is indicated by 2 things: The displacement between the points are constant (change in position is equal) Arrows indicating the objectβs velocity are the same length Constant positive velocity X If the object is stationary, then the velocity is zero and there is not an arrow indicating velocity X

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**More than one object How do we know which object is traveling faster?**

slope: remember, slope = velocity Steeper the slope, faster the velocity B X (m) A Object B has a greater displacement (change in position) than A IN THE SAME AMOUNT OF TIME 2 t (sec)

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**Review from yesterday βπ₯=( π₯ π β π₯ π ) Slope = βπ₯ π‘ =π£ππππππ‘π¦**

Y-intercept = starting position Slope = βπ₯ π‘ =π£ππππππ‘π¦ Velocity IS NOT THE SAME as speed Speed How fast Velocity How fast direction X X

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**Consider the following x-t graphs**

Rank these situations from greatest to least based on which shows the greatest displacement during the time from 0 to 10 sec. Use the > and = signs, but do not use the < sign. Rank these situations from greatest to least based on which shows the greatest distance traveled during the time from 0 to 10 sec. Use the > and = signs, but do not use the < sign.

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