Describing motion is occasionally difficult to do with words Graphs can help simplify this description greatly Position Distance from a starting point Velocity rate of change in position Acceleration rate of change in velocity ID: 1012721
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1. Motion Graphs
2. Motion-Time GraphDescribing motion is occasionally difficult to do with wordsGraphs can help simplify this description greatlyPosition = Distance from a starting pointVelocity = rate of change in positionAcceleration = rate of change in velocity
3. The Derivative and IntegralThe slope of a curve has a physical meaningFor a position-time graphy-axis measures meters (m)X-axis measures time (s)Slope is the rise over run (or Δy/Δx)This turns out to be m/sSlope is the derivativeThe area under the curve has a meaningFor a velocity-time graphy-axis measures velocity (m/s)X-axis measures time (s)Area for a square is L × WThis means area is (m/s)×(s) which equals mArea under the curve is the integralThe text to the right of the red box is recommended, not required
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5. Motion type 1: Standing StillThe object is in one location over timeThe velocity must be zeroThe acceleration must be zero0X (t)t0V (t)t0a (t)t
6. Motion type 2: Moving AwayThe object is moving consistently awayThe velocity is constant and positiveThe acceleration is zero (constant velocity)0X (t)t0V (t)t0a (t)t
7. Motion type 3: Moving TowardThe object is moving consistently toward originThe velocity is constant and negativeThe acceleration is zero (constant velocity)0X (t)t0V (t)t0a (t)t
8. Motion type 4: Away, Slowing DownThe object is moving away from the origin. Fast to begin with, then slowing its motion as time passes.The velocity is decreasing towards zero at a constant rate over time (slowing down)The acceleration is constant and negative0X (t)t0V (t)t0a (t)t
9. Motion type 5: Toward, Speeding UpThe object is moving toward the origin. slow to begin with, then quickening its motion as time passes.The velocity increasing away from zero at a constant rate over time (speeding up)The acceleration is constant and negative0X (t)t0V (t)t0a (t)t
10. Motion type 6: Toward, Slowing DownThe object is moving toward the origin. Fast to begin with, then slowing its motion as time passes.The velocity ‘increasing’ towards zero at a constant rate over time (slowing down)The acceleration is constant and positive0X (t)t0V (t)t0a (t)t
11. Motion type 7: Away, Speeding UpThe object is moving away from the origin. Slow to begin with, then quickening its motion as time passes.The velocity increases away from zero at a constant rate over time (speeding up)The acceleration is constant and positive0X (t)t0V (t)t0a (t)t
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