Posted by **DJ** on Monday, September 21, 2009 at 5:47pm.

A car is driven 105 km west and then 30 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?

- physics -
**MathMate**, Monday, September 21, 2009 at 7:31pm
Displacement is a vector. To find the displacement due to multiple legs of a trip, we sum the components (x,y) or (east,north) by resolving each leg into the respective components.

105 km west = (-105,0)

30 km SW = (30cos(225°),30sin(225°))

Sum each component to get the resultant components. The direction can be found with the tan^{-1}(y/x) function.

Post your answer for a check if you wish.

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**KMack**, Saturday, March 20, 2010 at 2:56pm
7.58

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**joe**, Sunday, September 26, 2010 at 6:39pm
-121.88

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