Answer to Question #235418 in Classical Mechanics for Ribosz

Question #235418
Am aircraft flies 800km due east and then 600km due north. Determine the magnitude of it's displacement
1
Expert's answer
2021-09-10T12:18:11-0400

let N(0,1)unit vector north\text {let }\vec{N}(0,1)- \text{unit vector north}

let E(1,0)unit vector east\text {let }\vec{E}(1,0)- \text{unit vector east}

NE\vec N\perp \vec E

Am aircraft flies 800km due east and then 600km due north.\text{Am aircraft flies 800km due east and then 600km due north.}

D=800E+600N\vec D= 800*\vec E+600*\vec N

D=(800,0)+(0,600)=(800,600)\vec D= (800,0)+(0,600)=(800,600)

D=6002+8002=1000km|\vec D|=\sqrt{600^2+800^2}=1000km


Answer:1000km\text{Answer:}1000km


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Comments

Inyang Richard
10.09.21, 20:41

Correct

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