Question

An parasailor is traveling at 8 m/s South with the wind blowing at 2 m/s W. What is
the parasailor's resultant velocity?
3.16 m/s 14° W of S
4.47 m/s 14° W of S
8.25 m/s 14. W of S
4 m/s 14 W of S

Answer 1

Answer:

8.25 m/s 14. W of S

Explanation:

The best way to solve this problem is to perform a vector scheme, as vectors can be added We can perform a vector sum to find the resulting velocity by means of the Pythagorean theorem.

In the attached diagram we can see the scheme of the vectors as well as the solution of the problem.

$v= \sqrt{8^{2}+2^{2} } \\v=\sqrt{68} \\v=8.24[m/s]\\\\the angle\\tan(\alpha )=\frac{2}{8} \\\alpha =14.03$

Note: The angle measured as West from South, means the angle measured from south to West.