Posted by Carol on Sunday, September 26, 2010 at 7:43pm.
A car is driven 165 km west and then 25 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?

physics  Henry, Monday, September 27, 2010 at 6:01pm
Since no starting point was given, I assumed the trip started at the Origin.
Therefore, we'll subtract 0 from the vector sum to get the displacement.
Southwest = 45 deg. west of South = 225 deg CCW from 0 deg.
X = Hor. = 165 + 165*cos225,
X = 165 + 17.7 = 182.7 km,
Y = Ver. = 25*sin225 = 17.7 km.
tanA = 17.7 / 182.7 = 0.0969,
A = 5.53 deg,
D = 182.7 + i17.7,
D = 182.7 / cos5.53 = 183.6 km @
5.53 deg South of West.
D = 182.7 +i17.7,

physics  Henry, Monday, September 27, 2010 at 6:09pm
CORRECTION!
X = Hor. = 165 + 25*cos225.
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