Question

PLEASE HURRY!A mom taking a walk with her newborn baby walks 5.5 m south, then 6.4 m at an angle of 30 degrees north of east, and finally 25 m west. What is this new mom's resultant displacement vector?

Answer 1

Step-by-step explanation:

Find all of the 'x' components:

6.4 cos 30 - 25 = -19.5 m

Find the 'y' components

- 5.5 + 6.4 sin 30 = -2.3 m

Resultant = sqrt ( (-19.5^2) + (-2.3^2) ) = 19.6 m

the angle will be arctan ( -2.3/-19.5) = 6.7 degrees south of west

See image below: