Given:
A quarterback throws a football with a velocity of 41 mph and a direction of 168°.
The wind on the field is 11 mph with a direction of 339°
So, there are 2 vectors:
We will find the resultant speed as the sum of the vectors v and w
To find the sum of the vectors, convert from the polar form to the rectangular form:
Now, we will convert from the rectangular form to the polar form to express the resultant as magnitude and angle:
So, the answer will be the second option: 30.185, 171°