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S&EP: Using Mathematics:
When determining the movement of something we can not expect them to always go in straight lines. We walk in lines of diagonal to get the shortest distance from point A to point B. There is actually a name for this which is displacement. Displacement is a Vector Quantity because you must with displacement say the direction . Yet since it is a diagonal we must use a little mathmatic to find our way. First off do you know rise over run. Let me explain. Rise is how high or how low the line went up. Then you must find the run which is how far that line is extended too. Then finally with both of those numbers you put the rise over run to get the slope aka our displacement!
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When an object changes its position relative to the reference point it can do it in one of two ways. It can do it a consistent rate of change. This means the velocity changes at an equal amount making it so it does not accelerate and still stays an even ratio. This will make a straight line slop it does not need to curve because everything is consistent and goes at the same rate the entire time it moves.Or it can change at a non consistent rate where the time and the speed begin to differ from one another. This would be like you walking at one point and then running at another. This would create a curved slope. Changes effect our graph in many ways but this is how a change in velocity will change it.
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