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LenaWriter [7]
3 years ago
14

The ____ of a position-time graph represents an object’s velocity.

Physics
2 answers:
xenn [34]3 years ago
8 0
<span>The slope of a position-time graph represents an object’s speed.

You can't determine the object's velocity from the graph, because
the graph only tells you the distance the object moves, but not the
direction.
</span>
Marianna [84]3 years ago
3 0

Answer:

The slope of a position-time graph represents an object’s velocity.

Explanation:

In a position-time graph, the values on the x-axis represent the time, while the values on the y-axis represent the position of the object.

Velocity is defined as the ratio between the displacement of an object and the time taken:

v=\frac{\Delta s}{\Delta t}

However, we can see that this definition corresponds to the slope of the curve in a position-time graph. In fact:

\Delta s, the displacement, corresponds to the difference in position, so the difference between the values on the y-axis: \Delta s=y_2 -y_1

\Delta t, the time interval, corresponds to the difference in times, so the difference between the values on the x-axis: \Delta t= t_2 -t_1=x_2 -x_1

So, the velocity is

v=\frac{\Delta s}{\Delta t}=\frac{y_2 -y_1}{x_2 -x_1}

which corresponds to the slope of the curve.

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