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KINEMATICS: LESSON 2
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AVERAGE SPEED VS. AVERAGE VELOCITY
Example: At a track meet at Redwater School, a runner does one complete 800 metre lap in 1.5 minutes. Assuming she starts and stops at the same point: a. What was her average speed during this lap? b. What was her average velocity for this lap? First let's convert minutes to seconds: 1.5 min * (60 sec ) = 90 seconds 1 min Physics 20
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AVERAGE SPEED VS. AVERAGE VELOCITY
The total distance covered was 800 metres. The total time was 90 seconds. The average speed = 800 m = 8.9 m/s. 90s Physics 20
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AVERAGE SPEED VS. AVERAGE VELOCITY
Example: b. What was her average velocity for this lap? b. The total displacement was zero. She returned to the starting point! The total time was 90 seconds. The average velocity = m = 0 m/s 90 s Physics 20
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POSITION-TIME GRAPHS & UNIFORM MOTION
What is the golf ball’s displacement after each second? Physics 20
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TABLE AND GRAPH OF GOLF PUTT
Physics 20
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DISCUSSION OF GOLF PUTT: TABLE AND GRAPH
Notice that the graph is a straight line. A straight line has a constant slope. What does constant slope tell you about the ball’s motion? Physics 20
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CALCULATING SLOPE OF THE GRAPH
The equation for slope : A change in position is displacement. Physics 20
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DISCUSSION OF SLOPE OF THE GRAPH
Notice that the units of the slope are m/s. These units indicate speed or velocity. The slope of a position-time graph gives us velocity. change in position per unit time. called average velocity Physics 20
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DOES DIRECTION AFFECT VELOCITY?
Physics 20
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UNIFORM MOTION If an object moves at constant velocity (constant magnitude and direction), the object is undergoing : uniform motion. A position-time graph for an object at rest is: a horizontal line. Physics 20
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CHANGING THE FRAME OF REFERENCE
If we were to designate the hole as the origin (rather than start point of ball), your data table would start at 5.0 m at time 0.0 s. Physics 20
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TABLE AND GRAPH OF GOLF PUTT: NEW FRAME OF REFERENCE
Physics 20
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CALCULATING SLOPE OF THE GRAPH: NEW FRAME OF REFERENCE
Physics 20
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SUMMARY: The slope of a position-time graph represents velocity.
The velocity is the average velocity for the time interval. Your choice of reference frame affects the direction (sign) of your answer. A straight line on a position-time graph represents uniform motion. Physics 20
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EXAMPLE Physics 20
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EXAMPLE Physics 20
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EXAMPLE Physics 20
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EXAMPLE Physics 20
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EXAMPLE 1.4 Physics 20
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HOMEWORK: Text: Read Page 11 – 20 Workbook: Physics 20
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