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Motion S8P3. Students will investigate relationship between force, mass, and the motion of objects. a. Determine the relationship between velocity and acceleration.
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Measuring Motion Motion Speed & Velocity Acceleration
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Motion Motion is when an object changes position over time relative to a reference point. Problem: Is your desk moving? We need a reference point... a nonmoving or moving point from which motion is measured
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Motion Superman Example
The speeding bullet is a moving reference point to Superman’s motion. The tall building is the non-moving reference point when Superman leaps.
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Motion Motion Change in position in relation to a reference point.
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Motion Problem: You are a passenger in a car stopped at a stop sign. Out of the corner of your eye, you notice a tree on the side of the road begin to move. What’s the problem? You have mistakenly set yourself as the reference point.
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s d t Speed Speed rate of motion
distance traveled by an object in a given amount of time Write Formula
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Speed Instantaneous Speed speed at a given instant Average Speed
Write Formula
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Speed Problem: A storm is 10 km away and is moving at a speed of 60 km/h. Should you be worried? It depends on the storm’s direction!
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Velocity Velocity speed of an object in a given direction
changes when speed and/or direction changes Examples: The car’s velocity was 104 km/h N (about 65 mph N). John’s velocity was 1 m/s S (about 2.2 mph S) The runner’s velocity was 37 km/h W (about 23 mph W).
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Graphing Motion slope = speed steeper slope = straight line =
* 07/16/96 Graphing Motion Distance-Time Graph A B slope = steeper slope = straight line = flat line = speed faster speed constant speed no motion *
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Graphing Motion Who started out faster? A (steeper slope)
Distance-Time Graph A B Who started out faster? A (steeper slope) Who had a constant speed? A Describe B from min. B stopped moving Find their average speeds. A = (2400m) ÷ (30min) A = 80 m/min B = (1200m) ÷ (30min) B = 40 m/min
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t a Acceleration Acceleration the rate of change of velocity
vf - vi t Acceleration the rate of change of velocity change in speed and/or direction Write Formula a: acceleration vf: final velocity vi: initial velocity t: time
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Acceleration The velocity can change even when the speed is constant!
Examples: 25 m/s S 25 m/s E 55 m/s W 20 m/s W
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Acceleration Positive acceleration “speeding up” Ex. 5 km/h 25 km/h
Negative acceleration (Deceleration) “slowing down” Ex. 25 km/h 5 km/h
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Acceleration
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Graphing Motion Distance-Time Graph Acceleration is indicated by a curve on a Distance-Time graph. Changing slope = changing velocity
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Graphing Motion slope = acceleration
Speed-Time or Velocity-Time Graph slope = acceleration “+” velocity = speeds up “-” velocity = slows down Straight line = constant acceleration flat line = constant speed
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Graphing Motion Specify the time period when the object was...
Speed-Time or Velocity-Time Graph Specify the time period when the object was... slowing down 5 to 10 seconds speeding up 0 to 3 seconds moving at a constant speed 3 to 5 seconds not moving 0 & 10 seconds
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