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Posted by **Bob** on Tuesday, September 4, 2012 at 11:42pm.

(a) What is the largest possible displacement of the shopper?

(b) What is the smallest possible displacement of the shopper?

Could you show me step by step

- Physics -
**Jennifer**, Wednesday, October 3, 2012 at 7:57pmstart the shopper at (0,0)

After pushing the cart 50 m south, he's now at (0, -50)

After turning west and pushing the cart 19 m, he's now at (-19, -50)

Now he has to turn 90 degrees again. . . he will then be going either north or south. . . south will result in the largest displacement from the origin. . . now he's at (-19, -63)

north will result in the smallest displacement from the origin . . . then he'd be at (-19, -37)

The distance from the origin for the largest displacement is (19^2 + 63^2)^0.5

Let the angle counterclockwise from west be x: then

tan x = 63/19

The distance from the origin for the smallest displacement is (19^2 + 37^2)^0.5

at an angle:

tan x = 37/19

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