Answer to Question #135432 in Mechanics | Relativity for Ramon

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

So in the figure above point(i) represent initial position of the dog and point(f) representing the final position of the dog.

And displacement = distance of final position from initial position directly.

So from the right triangle (iAf) in the figure

iA=2.3 meter

Af= 9.2 meter

So now using Pythagoras theorem for right triangle (iAf) ,we can calculate distance (if) that is displacement.

$if^{2}=(2.3)^{2}+(9.2)^{2}$

So, if = 9.48 meter.

That is the resultant displacement is 9.48 meter.