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Use the resultant displacement formula when units of distance are used to specify your initial and final location. Connect the points based on order of movement and label them from A-Z. Input the direction values for x and y. Compute the formula using the order of operations.
Though distance is different than displacement, resultant displacement problems will specify how many "feet" or how many "meters" an object has traveled. You will use these units of measurement to calculate displacement, or how far out of position the object is based on its original point. The resultant displacement formula is written as: S = x+y. "S" stands for displacement. X is the first direction that the object is traveling and Y is the second direction that the object is traveling. If your object only travels in one direction, then Y = 0. An object can only travel in two directions maximum, since moving along the north/south or east/west axes will be considered neutral movement. Use a ruler to make straight lines from point to point. Also remember to connect your starting point to your end point using a straight line. This is the displacement we will be calculating. For example, if an object travels east 300 feet and north 400 feet, it will form a right triangle. AB will form the first leg of the triangle and BC will form the second leg. AC will form the hypotenuse of the triangle, and its value will be the amount of the object's displacement. In this example, the two directions are "east" and "north." Now that you know the two directions your object is traveling in, input the values into their respective variables. For example, x = 300 and y = 400. Your formula should look like this: S = 300 + 400. Square 300 and 400 first, then add them, and then find the square root of that sum. For example: S = 90000 + 160000. S = 250000. S = 500. You now know that displacement is equal to 500 feet.