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# A car is driven 165 km west and then 95 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)

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A car is driven 165 km west and then 95 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)? (physics)

Guest Sep 25, 2014

#1
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We have two vectors here, v1 and v2

v1 = <165cos180, 165sin180>  and v2 = <95cos(225), 95sin(225)>

Summing the "x" components we have

165cos(180) + 95cos(225) = about -232.18

Summing the "y" components we have

165sin(180) + 95sin(225) = about -67.18

And the magnitude is given by   √[(-232.18)2 + (-67.18)2] = about 241.7 km

And the direction is given by

CPhill  Sep 25, 2014
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#1
+80823
+11

We have two vectors here, v1 and v2

v1 = <165cos180, 165sin180>  and v2 = <95cos(225), 95sin(225)>

Summing the "x" components we have

165cos(180) + 95cos(225) = about -232.18

Summing the "y" components we have

165sin(180) + 95sin(225) = about -67.18

And the magnitude is given by   √[(-232.18)2 + (-67.18)2] = about 241.7 km

And the direction is given by