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

Question

3 years ago

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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

Mathematics

1 answer:

irga5000 [103] · Answer 1 · 2022-02-18T03:23:41+03:00

Answer:

Step-by-step 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 $=\sqrt{64^2+23^2}=68.0 m$

(b)Smallest displacement when he turns towards north

$=\sqrt{36^2+23^2}$

$=\sqrt{1825}=42.72 m$