Graphing Motion
We stop by a food truck to investigate three different ways to graph motion: position versus time, velocity versus time, and acceleration versus time.
We stop by a food truck to investigate three different ways to graph motion: position versus time, velocity versus time, and acceleration versus time.
Learning Objectives
-Explore finding instantaneous velocity, average velocity, and displacement on a position time graph.
-Investigate finding instantaneous acceleration, average acceleration, and displacement on a velocity vs. time graph.
-Find instantaneous acceleration on an acceleration vs. time graph.
-Given the same sequence of events, compare this motion on a position vs. time graph, velocity vs. time graph, and acceleration vs. time graph.
-Explain what different types of lines (e.g. moving up, moving down, horizontal, curved, straight) represent on each type of motion graph.
-Explore finding instantaneous velocity, average velocity, and displacement on a position time graph.
-Investigate finding instantaneous acceleration, average acceleration, and displacement on a velocity vs. time graph.
-Find instantaneous acceleration on an acceleration vs. time graph.
-Given the same sequence of events, compare this motion on a position vs. time graph, velocity vs. time graph, and acceleration vs. time graph.
-Explain what different types of lines (e.g. moving up, moving down, horizontal, curved, straight) represent on each type of motion graph.
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Vocabulary
average acceleration - the rate of change of velocity divided by time elapsed. Can be found by connecting two points on a line on a velocity versus time graph and finding the slope of that line. average velocity - an object’s displacement divided by time elapsed. Can be found by connecting two points on a line on a position versus time graph and finding the slope of that line. instantaneous acceleration - acceleration at a given moment in time. Can be found by drawing a line tangent to a point on a line on a velocity versus time graph and finding the slope of that line. instantaneous velocity - the velocity of an object at a specific point in time. Can be found by drawing a line tangent to a point on a line on a position versus time graph and finding the slope of that line. |