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When looking at a distance vs. time graph, it shows how far an object is traveling over a certain amount of time which can be written like this:

distance per time or distance/time (distance divided by time)

If we then put units in for distance (let's say meters) and time (seconds) we get this:

meters/seconds

which is the same as the units for speed.

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Q: Why is the slop on a distance time graph speed?
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How is a distance- time graph different than a speed time graph?

The variable plotted along the vertical axis is the distance in the first case, speed in the second. The gradient of (the tangent to) the distance-time graph is the speed while the area under the curve of the speed-time graph is the distance.


How can you calculate the speed in a distance time graph?

speed is the gradient under the distance vs time graph which is change in distance /change in time


What does the slop of a distance vs. time graph tell you?

The slope of a distance vs. time graph is a measure of the rate of change of the distance over time. It tells you the speed at which the distance is changing. If the slope is positive it means the distance is increasing with time. If the slope is negative it means the distance is decreasing with time. If the slope is zero it means the distance is not changing with time. Positive slope: distance is increasing with time. Negative slope: distance is decreasing with time. Zero slope: distance is not changing with time.The slope of the graph can be used to calculate the average speed of an object over a certain period of time. By taking the change in distance and dividing it by the change in time the average speed can be calculated.


What happens to a graph of time and distance as speed increases?

The graph of distance vs time increases exponentially as speed increases.


Why area below the distance-time graph is used to calculate speed?

That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.


Is acceleration the slope of a line on a distance time graph?

No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.


What does the slope of the distance time graph represent?

The slope of a distance-time graph represents speed.


How can you get speed of an object from its distance-time graph?

The speed is the slope of the curve in such a graph.


How can you get speed and distance covered by a body from distance time graph?

Distance you read off directly from the graph. Speed is the rate of increase of distance, so it is the slope (gradient) of the graph.


How do you calculate speed of a distance time graph?

Speed (in the radial direction) = slope of the graph.


How can speed be determined from a graph of distance vs time?

Slope of the graph will give you speed.


How is a speed graph different from an acceleration graph?

A speed graph measures the distance devided over time. Acceleration graph measures the change in speed over time.