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Acceleration & Velocity Time Graphs
Chapter 2.2
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acceleration Rate at which velocity is changing
acceleration= change of velocity time Acceleration = change of speed (along a straight line) time
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Acceleration occurs when there is either a change in speed, change in direction or both (whenever there is a change in velocity).
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In physics, acceleration applies to both increases and decreases in speed
Decrease in speed= negative acceleration
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Practice Problem Suppose a car moving in a straight line steadily increases its speed each second, first from 35 to 40 km/h, then from 40 to 45 km/h, then from 45 to 50 km/h. What is its acceleration? Speed increases 5 km/h each 1 s interval, therefore acceleration= 5 km/h*s (read 5 km per hour second)
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Practice Problem 2 In 5 seconds a car moving in a straight line increases its speed from 50 km/h to 65 km/h, while a truck goes from rest to 15 km/h in a straight line in that same amount of time. Which undergoes the greater acceleration? What is the acceleration of each vehicle? Acceleration for both vehicles is 15 km/h*s (the undergo the same acceleration even though their speeds are quite different)
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Speed vs. Time Graphs X axis: always time Y axis: always speed
Slope of line = speed/time Slope tells you what happens to acceleration of the object Area under line tells you the distance the object traveled.
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What is happening in this graph?
Objected started at rest Speed is increasing Object is accelerating
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What is happening in this graph?
Object is slowing down Object is negatively accelerating (decelerating)
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What is happening in this graph?
Both objects are moving Both objects are increasing speed but at different rates Dashed line increases speed faster so it has the greater acceleration
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What is happening in this graph?
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