Answer to Question #136673 in Mechanics | Relativity for Vectors

Question

Your dog is running around the grass in your backyard. He undergoes successive displacements 3.50 m south, 8.20 m northeast, and 15.0 m west. What is the resultant displacement?

Answer 1

Displacement downward is $(-3.50m)j$

in the north east direction the displacement is

$(8.20 Cos 45^{o} m)i + (8.20Sin45^{o}m)j = (5.798m)i + (5.798m)j$

the displacement to the west is $(-15.0m)i$

the resultant displacement = $(-3.50m)j+(5.798m)i+(5.798m)j+(-15.0m)i$

$=(-9.20m)i+(2.29m)j$