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The tangent at a point on the position-time graph represents the instantaneous velocity.

1. The tangent is the instantaneous slope.

2. Rather than "average" velocity, the slope gives you "instantaneous" velocity. The average of the instantaneous gives you average velocity.

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Q: Does the slope of a position time graph represent average velocity or rate of change of velocity?
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What Is the difference between velocity and average velocity?

Velocity is an instantaneous measure. Mathematically, it is the limiting value of the change in the position vector divided by the change in time as the latter tends to zero. Over larger time periods, the average velocity is the total change in the position vector divided by the total change in time. If velocity is constant, the average velocity will be the same as the instantaneous velocity.


What does mean slope is derived formula for speed?

If you are talking about a position vs time graph, the slope gives the average velocity. Velocity is displacement/change in time. (Change in position is displacement). Position is on the y axis and time is on the x axis. The slope = (y2-y1)/(x2-x1) = change in position/change in time = average velocity.


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Velocity is the rate of change of the position of an objec


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Velocity is change in displacement over time.


What do displacement vs time graphs represent?

change in position, also known as the integral of velocity or the second integral of acceleration


How do you find the average speed of an item over a given time?

Average velocity is change in position (displacement) divided by the interval.


How is position and velocity related?

Velocity is the rate of change of position over time.


What is the difinition of velocity?

Velocity is the rate of change of position.


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Velocity is the rate of change of position - i.e., the derivative of position with respect to time.Acceleration is the rate of change of velocity - i.e., the second derivative of position with respect to time.


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The rate of change of position is the velocity. The velocity at a specific point in time is called the instantaneous velocity.