Question

equations of motion in two dimensions: mastery test
the magnitudes of the vectors in this diagram are $v_{x/y}=17.94$ meters/second and $v_{y/z}=3.46$ meters/second. find $v_{x/z}$
a. 10.23 meters/second
b. 3.46 meters/second
c. 17.94 meters/second
d. 14.48 meters/second

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