Example 6: Draw an approximate graph of the velocity versus time graph that corresponds to the position versus time graph shown below. Make sure to show any discontinuities and asymptotes.
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Since the graph is a straight line with a positive slope, it represents constant velocity. Now, let's draw the velocity versus time graph based on this information. Since velocity is the rate of change of position, the velocity graph will be a horizontal Show moreā¦
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Sketch a graph of velocity as a function of time for the shuttle train in Example 6
Differentiation
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The accompanying figure shows the graph of velocity versus time for a particle moving along a coordinate line. Make a rough sketch of the graphs of speed versus time and acceleration versus time.
THE DERIVATIVE IN GRAPHING AND APPLICATIONS
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