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Do Now: Distinguish between distance and displacement.
Which directions are positive? Which directions are negative?
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Kinematics = study of motion
How many dimensions do we live in? 4.
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Are you in motion right now? Explain.
What is motion? Define it! How do you know something is moving? Need frame of reference – backdrop.
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Objects In Motion change position in space, along x, y, z relative to reference frame.
Symbol for change D. Means subtract: Dx = xf - xi.
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Simplest form of motion is 1 dimensional or 1-d.
Straight line motion .
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Speed & Velocity Measures rate of change in position.
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Spark timer.
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Speed & Velocity Scalar & Vector
Speed rate an object covers distance – scalar (v) Velocity – rate of an object’s displacement - includes direction. (v)
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Average Speed & Velocity
Speed = total distance/time SCALAR. No direction indicated. speed = d tot /t tot. Velocity = displacement/time VECTOR. Includes direction. v = Dx/t, v= Ds/t v = d tot /t tot. Vel direction/sign = displacement.
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1. A boy rides his bike to the store at an average speed of 18 km/h
1. A boy rides his bike to the store at an average speed of 18 km/h. If the trip takes 30 minutes, what distance has he ridden. Rearrange - isolate unknown. d = vt Plug in w units d = (18 km/h)(0.5 h) Show cancellations Solve w units. d = 9 km List v = 18 km/h t = 30 min t = 0.5 h d = ? Equation: v = d/t
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2. A car travels 200 km north in 1
2. A car travels 200 km north in 1.8 hours, turns and drives 350 km south in 2.6 hours. Calculate the average: a. Speed (km/h) b. Velocity (km/h) speed = 125 km/h Velocity = - 34 km/h 34 km/h south
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3. A bus travels 55 km west in 0.25 hours, stops for 30 minutes, turns and travels 145 km east. The eastward trip takes 2 hours. Calculate the average: a. Speed b. Velocity Speed = 72.7 km/h Velocity = -1.3 km/h or km/h west
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Equations are for average not instantaneous velocity.
Only if object travels at constant velocity, average = instantaneous.
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Read text pg Do Wksht “Introduction to Motion”
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Take out Homework Jot down the answer in you notes.
What is the acceleration of a turtle moving east at 0.25 m/s. A car driving west at 20 m/s slows to a stop. What is the sign of the acceleration? If a car is moving to the east, can its acceleration be west? Explain and give an example.
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Graphs of Motion Position/Distance/Displacement – time Constant v
Graphs of Motion Position/Distance/Displacement – time Constant v. What is the difference btw the 2 Starting point
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Uniform/ constant velocity v = slope. Calculate the velocity.
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Slope = 0
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Constant vs. Changing speed
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Displacement has direction includes neg quadrant.
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Describe what is going on
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Many objects in motion
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Uniform/Constant Acceleration
Instantaneous velocity = slope of tangent.
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Hwk Text Rd p 45 – 46. Do pg 69 #1 - 5, #10, #14.
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