equations of motion in two dimensions: mastery test\nthe magnitudes of the vectors in this diagram are…

equations of motion in two dimensions: mastery test\nthe magnitudes of the vectors in this diagram are $v_{x/y}=17.94$ meters/second and $v_{y/z}=3.46$ meters/second. find $v_{x/z}$\na. 10.23 meters/second\nb. 3.46 meters/second\nc. 17.94 meters/second\nd. 14.48 meters/second

equations of motion in two dimensions: mastery test\nthe magnitudes of the vectors in this diagram are $v_{x/y}=17.94$ meters/second and $v_{y/z}=3.46$ meters/second. find $v_{x/z}$\na. 10.23 meters/second\nb. 3.46 meters/second\nc. 17.94 meters/second\nd. 14.48 meters/second

Answer

Explanation:

Step1: Assign directions to velocities

Take right as positive. ( v_{x/y}=+17.94 , \text{m/s} ), ( v_{y/z}=-3.46 , \text{m/s} ).

Step2: Sum the velocities

( v_{x/z}=v_{x/y}+v_{y/z}=17.94-3.46=14.48 , \text{m/s} ).

Answer:

D. 14.48 meters/second