As she picks up her riders, a bus driver traverses foursuccessive displacements
Chapter 3, Problem 49(choose chapter or problem)
As she picks up her riders, a bus driver traverses foursuccessive displacements represented by the expression126.30 b2 i^ 2 14.00 b cos 408 2 i^ 2 14.00 b sin 408 2 j^1 13.00 b cos 508 2 i^ 2 13.00 b sin 508 2 j^ 2 15.00 b2 j^Here b represents one city block, a convenient unit ofdistance of uniform size; i^ is east; and j^ is north. Thedisplacements at 40 and 50 represent travel on roadwaysin the city that are at these angles to the maineastwest and northsouth streets. (a) Draw a map ofthe successive displacements. (b) What total distancedid she travel? (c) Compute the magnitude and directionof her total displacement. The logical structure ofthis problem and of several problems in later chapterswas suggested by Alan Van Heuvelen and David Maloney,American Journal of Physics 67(3) 252256, March1999.
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