Question

Your dog is running around the grass in your back yard. He undergoes successive displacements 3.46 m south, 7.96 m northeast, and 14.2 m west. What is the resultant displacement? (Take the +x direction to be east.)

Answer 1

Answer:

8.84 m

Explanation:

Resolving in both x and y components and taking N and E as positive, S and W as negative then

X-component

$7.96cos 45^{\circ}-14.2=-8.571430022m$

Y-component

$-3.46+7.96sin45^{\circ}=2.168569978$

Resultant= $\sqrt {x^{2}+y^{2}}=\sqrt {(-8.571430022)^{2}+2.168569978^{2}}=8.841499215m\approx 8.84 m$