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Position-Time graphs | Velocity-Time graphs | |
direction of motion | sloped up, positive direction sloped down, negative direction |
1st quadrant, positive direction 4th quadrant, negative direction |
instantaneous velocity | slope of line, including + or - | height of line, including + or - |
instantaneous speed | absolute value of the slope, always positive | absolute value of the height, always positive |
at rest | flat line segments where position remains the same |
flat line segments coincident with the x-axis showing a velocity of zero |
distance traveled | track the | changes in the height of each line | during the time interval requested, always + |
calculate the | areas under each line segment | during the time interval requested, always + |
net displacement | compare the y-values of the starting and ending points, subtract yfinal - yinitial |
calculate the cumulative areas paying attention to + and - areas |
instantaneous position | height of a line segment at a specific time | cumulative displacement when given a starting position |
average speed | total distance / total time | total distance / total time |
average velocity | net displacement / total time slope of a secant connecting the starting and ending points |
net displacement / total time |