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| by Matt Schoonover
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| ==Speed and Velocity==
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| Speed and velocity are used fairly interchangeably in casual conversation, but when it comes to physics the two can mean vastly different things. Velocity has direction and therefor a vector quantity. Speed is the scalar form of velocity and therefor has no direction.
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| The most basic equation for velocity is
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| [[File:veq.JPG]]
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| From this comes the average velocity equation of
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| [[File:vavgeq.JPG]]
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| The equation for speed is
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| [[File:speedeq.JPG]]
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| ===A Mathematical Model===
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| In order to find the velocity of an object one must find the change in distance over the change in time. In order to find the speed of an object one must find the magnitude of the velocity. Both are measured in meters per second.
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| ===A Computational Model===
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| To help demonstrate the difference between the two, I wrote some simple code to model the motion of a ball moving on a track.
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| In the first picture, the velocity is only in one direction, so the speed and velocity are the same.
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| [[File:Velocity.JPG]]
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| However, in the second picture, the velocity is in the x and y direction, so the speed and velocity are not the same.
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| [[File:Speed.JPG]]
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| ==Unit Vectors==
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| Unit vectors are also closely related to velocity and speed. Basically a unit vector is a unitless vector with a magnitude of 1 unit that points in the direction of a given vector. Unit vectors can be used to switch between speed and velocity.
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| The equation to find the unit vector of velocity is simply velocity over speed, or
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| [[File:uniteq.JPG]]
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| Multiplying the speed by a unit vector will give you velocity.
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| =Simple Examples=
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| 1. If a person walked a distance of 10 meters in 5 seconds, what is their average velocity?
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| Solution: Using the average velocity equation will tell you that the answer is 2 m/s.
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| 2. If someone traveled with a velocity of 13 m/s for 3 minutes, how far would they have traveled?
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| Solution: First convert 3 minutes to seconds(180). Then use the velocity equation to solve for distance. You should get 2,340 m.
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| ==Connectedness==
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| #How is this topic connected to something that you are interested in?
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| #How is it connected to your major?
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| #Is there an interesting industrial application?
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| == See also ==
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| Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
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| ===Further reading===
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| Books, Articles or other print media on this topic
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| ===External links===
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| Internet resources on this topic
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| ==References==
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| This section contains the the references you used while writing this page
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| [[Category:Which Category did you place this in?]]
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