posted by DJ .
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)?
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.