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Warm Up 1. 203 cm to meters 2. 234 m to km 3. 8,009 g to kg 4. 0.987 L to mL 5. 0.97 kg to mg
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Introduction to Motion Objective: Know the difference between distance and displacement and speed and velocity
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What is motion? Motion: change of the position of an object with respect to time Ouch.
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Definition: Total length traveled What distance did the turtle cover?
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Definition: change in the position of an object from its beginning point Formula: Δx = x f -x i ΔxΔx xixi xfxf
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Displacement = change in position from start Distance = total length traveled What total distance did the turtle cover? What was his displacement?
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Displacement Positive displacement: moving up or forward Negative displacement: moving down or backward
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Positive or Negative? 2 m 4 m 2 m 4 m + + - -
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Speed Definition: rate of change in distance with respect to time Formula: speed = distance/time
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Definition: rate of change in displacement with respect to time Formula: v avg = x f – x i = displacement = d t f – t i time t Units: length/time Average Velocity
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Can be positive or negative Depends on sign of displacement Positive velocity = moving forward Negative velocity = moving backward
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Velocity vs. Speed Velocity is a VECTOR quantity, which means it describes motion with both magnitude and direction Rate of change of DISPLACEMENT with respect to time Speed is a SCALAR quantity, which means it has no direction, only magnitude Rate of change of DISTANCE with respect to time Video (Vector) Video (Vector)
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The GUESS Method During football practice, Martin and Johnv run 2.7 miles eastward in 25 minutes. How fast were they running? G iven U nknown E quation S ubstitute S olve 2.7 miles = d, 25 minutes = t velocity v = d/t v = 2.7 miles/25 minutes v = 0.108 miles/min eastward
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Homework Textbook Problems p. 62 #2, 5, 6, 26-31
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Lab/Activity Intro to Motion Detectors
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Exit Question (use GUESS) A turtle walks 2.0 meters forward in 10 minutes. What is the Turtle’s velocity? G U E S
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