As she picks up her riders, a bus driver traverses four successive displacements represented by the expression
(-6 b)î - (3.70 b cos 40°)î - (3.70 b sin 40°)ĵ + (2.50 b cos 50°)î - (2.50 b sin 50°)ĵ - (4.90 b)ĵ
here b represents one city block, a convenient unit of distance of uniform size; î is east; and ĵ is north. the displacements at 40° and 50° represent travel on roadways in the city that are at these angles to the main east—west and north—south streets.†
(a) draw a map of the successive displacements.
(c) compute the magnitude and direction of her total displacement (counterclockwise from east).