Question

A shopper pushes a cart 50 m south down one aisle and then turns 90.0° west and moves 23 m. He then makes another 90.0° turn and moves 14 m. (a) What is the largest possible displacement of the shopper? m ° counterclockwise from west (b) What is the smallest possible displacement of the shopper? m ° counterclockwise from west

Answer 1

Explanation:

Given

Shopper pushes a cart 50 m south down then turns 90 ^{\circ} west and moves 23 m.

he then makes
`90^(\circ)` turn and moves 14 m

(a)Largest possible displacement is when he turns towards south

Net displacement
`=√(64^2+23^2)=68.0 m`

(b)Smallest displacement when he turns towards north

`=√(36^2+23^2)`

`=√(1825)=42.72 m`