posted by Lyndsay
A - A girl delivering newspapers covers her route by traveling 4 blocks west, 2 blocks north, then 6 blocks east. What is her resultant displacement? Answer in units of blocks.
B - What is her direction? Use counterclockwise as the positive angular direction from due east, between the limits of −180◦ and 180◦. Answer in units of ◦.
C - What is her total distance? Answer in units of blocks.
went total of 6-4 = 2 blocks east (x axis)
went 2 blocks north (y axis)
net is sqrt (2^2+2^2) = 2 sqrt 2 northeast which is 45 degrees north of east
A. Disp. = -4 + 2i + 6 = 2 + 2i.
Disp. = sqrt(2^2+2^2) = 2.83 Blocks.
B. Tan A = 2/2 = 1. A = 45o N. of E.
C. Distance = 4 + 2 + 6 = 12 Blocks.