Question 825288: What is the direction of the final displacement of a car which travels 10 km south, 2 km west, and then 5 km east?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the direction of the final displacement of a car which travels 10 km south, 2 km west, and then 5 km east?
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Start: (0,0)
10 south to (0,-10)
2 west to (-2,-10)
5 east to (3,-10)
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distance from (0,0) to (3,-10) = sqrt[3^2 + 10^2] = sqrt(109) = 10.44 km
Angle: tan^-1(-10/3) = -73.3 degrees = 286.7 degrees
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Cheers,
Stan H.
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