Answer to Question #235418 in Classical Mechanics for Ribosz

Question

Am aircraft flies 800km due east and then 600km due north. Determine the magnitude of it's displacement

Answer 1

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

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

$\vec N\perp \vec E$

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

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

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

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

$\text{Answer:}1000km$