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Kinematics and Velocity, Position, and Acceleration

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Please look at the position, velocity, and acceleration graphs. Please explain the position graph, the motion to a car, using the parameter of slope. How were the velocity and acceleration graphs obtained? Give other examples please, using simple explanations with numbers and theory.

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Solution Summary

The answer is established by looking at the relationship between the slope of each graph and the variables provided. The slope either equals acceleration or velocity, and provide the rise/run relationship between those parameters and the position of the car.

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SOLUTION:

The first graph represents a position-time graph for the car. The y-axis represents the position (or distance) of the car and the x-axis represents the time. There are three sections of this particular graph that must be taken into consideration. This is the point from where the position starts on the y-axis to the first dotted line, between the two dotted lines, and from the second dotted line to where the graph ends to the right side. Each one of these sections produces a constant linear relationship between the position and time traveled.

Since the formula for velocity is v = (change in d/change in t), where v is the velocity, d is the distance, and t is the time, the slope of the position-time graph is equal to the velocity of the car, since the slope is equal to rise/run. ...

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