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Distance Time Graphs

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Distance Time Graphs
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Definitions
* Speed: Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time.

* Velocity: Velocity is a vector quantity that refers to "the rate at which an object changes its position." When evaluating the velocity of an object, one must keep track of direction. It would not be enough to say that an object has a velocity of 55 mi/hr. One must include direction information in order to fully describe the velocity of the object.

* Distance: Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. * Displacement: Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

* Acceleration: Change in speed per time.

Distance-time Graphs:
Uniform Speed:

In uniform speed, Uniform Velocity means the object on the graph is moving equal distances in equal time.
This is why the sloped line (gradient) is a straight line. To work out the velocity we take the vertical reading from the graph where the line finishes and divide it by the horizontal reading where the line finishes. Velocity= vertical / horizontal = 50 / 5 = 10m/s Object at Rest:

In the above graph, as the time increases, the distance remains same. This means that the object is not covering any distance. Therefore, it is at rest or is stationary. Velocity= distance/time = 0/10 = 0
Increasing Speed:

When graph of distance Vs time is plotted for an object moving with accelerated motion, i.e. with increasing non-uniform speed, the slope of graph is not a straight line. The rising trend of slope shows the increasing trend of velocity. At the end of 5s the distance moved is 50m. So average speed is

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