Graphing

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Last updated 6:30 PM on 9/4/26
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7 Terms

1
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speed is the

absolute value of velocity

2
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if the slope of the position vs. time graph is linear, then

the acceleration = 0, and the velocity is constant (velocity gives the direction of displacement)

  • if the position increases (+∆x), then velocity is positive

  • if the position decreases (-∆x), then velocity is negative

  • if the position does not change, then velocity = 0


3
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if the position vs. time graph slope is not linear, then

the velocity is not constant, and acceleration is changing

4
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concave down

acceleration is < 0 (negative)

  • pointing up: the position increases, so velocity is positive, but acceleration is negative, so the speed decreases

  • pointing down: the position decreases, so velocity is negative, and acceleration is negative, so the speed increases


5
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concave up

acceleration is > 0 (positive)

  • pointing up: the position increases, so velocity is positive, and acceleration is positive, so the speed increases

  • pointing down: the position decreases, so velocity is negative, but acceleration is position, so the speed decreases


6
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for the velocity vs. time graph, if it is concave down

  • for pointing up, velocity is positive above the x axis and acceleration is positive since the slope of the graph is positive, thus it is speeding up but at a slower rate

    • the acceleration decreases but is greater than 0

  • for pointing down, velocity is positive above the x axis but acceleration is negative since the slope of the graph is negative, thus it is slowing down at a faster rate

    • the acceleration increases but is less than 0


7
New cards

for the velocity vs. time graph, if it is concave up

  • for pointing up, velocity is positive above the x axis and acceleration is positive since the slope of the graph is positive, thus it is speeding up at a faster rate

    • the acceleration increases and is greater than 0

  • for pointing down, velocity is positive above the x axis but acceleration is negative since the slope of the graph is negative, thus it is slowing down at a slower rate

    • the acceleration decreases and is less than 0