Explain the mathematical and graphical relationship between velocity and position using your own words.

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.

genius_generous answered 1 year ago

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