Question
In: Physics
Explain the mathematical and graphical relationship between velocity and position using your own words.
Explain the mathematical and graphical relationship between velocity and position using your own words.
Solutions
Expert Solution
Answer :
According to definition : Velocity is the rate of change of position.
Therefore, Mathematically Velocity is given as: Velocity = Displacement / time
Thus : V = d / t
The position-time graph describes the motion of an object over a period of time. Time in seconds is conventionally plotted on the x-axis and the position of the object in meters is plotted along the y-axis. The slope of the position-time graph reveals important information about the velocity of the object.
The slope of a position-time graph reveals the type of velocity an object undergoes during its motion. A constant slope of a position-time graph indicates a constant velocity. A varying slope of a position-time graph indicates a changing velocity. The direction of the slope of the position-time graph indicates the sign of the velocity. For example, if it slopes downward, from left to right, the velocity is negative.
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