# UNIVERSITY PHYSICS 1

posted by on .

as she pick up her riders a bus driver traverses four successive displacements represented by the expression (-6.30 b)i-(4.00 b cos 40)i-(4.00 sin 40)j+(3.00 b cos 50)i-(3.00 b sin 50)j-(5.00 b)j here b represents one city block,a convenient unit of distance of uniform size; i is east; and j is north. the displacements at 40 degree and 50 degree 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(b)what total distance did she travel? (c)compute the magnitude and direction of her total displacements.

• UNIVERSITY PHYSICS 1 - ,

• UNIVERSITY PHYSICS 1 - ,

If I read your somewhat confusing vectors correctly, they are (in units of b)

-6.30i
-4.00cos40i - 4.00sin40j
3.00cos50i - 3.00sin50j
-5.00j

the distances traveled in each case is
6.30
4.00
3.00
5.00

the directions are all given. just read 'em off

• UNIVERSITY PHYSICS 1 - ,

• UNIVERSITY PHYSICS 1 - ,

adding up the i and j values, the total displacement is

-12.4i - 4.87j = 13.32 @ 158.6°

|-12.4i - 4.87j| = √(12.4^2 + 4.87^2)
tan158.6° = -4.87/-12.4

• UNIVERSITY PHYSICS 1 - ,

how did u get -12.4i and 4.87j