To solve for the value of the resultant vector [tex]\( v_{\frac{y}{z}} \)[/tex], we determine the correct answer given the value [tex]\( v_{\frac{y}{z}} = 5.21 \)[/tex] meters/second.
Consider the available options:
- A. 7.36 meters/second
- B. 11.23 meters/second
- C. 17.78 meters/second
- D. 5.21 meters/second
- E. 6.67 meters/second
Given that [tex]\( v_{\frac{y}{z}} \)[/tex] is directly provided as 5.21 meters/second in the problem, we look for the matching value from these options. The correct value of the resultant vector [tex]\( v_{\frac{y}{z}} \)[/tex] among the given choices is:
D. 5.21 meters/second
So, the value of the resultant vector [tex]\( v_{\frac{y}{z}} \)[/tex] that matches our given value is answer choice D. 5.21 meters/second.