Vector Addition Assignment

For each problem, find the resultant (magnitude AND direction) analytically.  Show all of your work in a neat and organized manner.  Include a general sketch, too.

1. 35.0 km @ 15.0° and 40.0 km @ 100.0°

2. 20.0 m/s @ 150.0° and 15.0 m/s @ 110.0°

3. 75.0 N @ 180.0° and 35.0 N @ 330.0°

4. 60.0 km/h @ 315.0° and 40.0 km/h @ 270.0°

5. 47.0 N @ 185.0° and 23.0 N @ 252.0°

6. 2.73 m/s @ 36.5° and 6.21 m/s @ 136.8°

7. 128.4 m @ 204.0°; 214.6 m @ 25.0° and 153.6 m @ 286.0°

8. 5423 N @ 89.4°; 3210 N @ 175.5° and 1009 N @ 140.0°

1) 55.4 km @ 61.0°  2) 32.9 m/s @ 132.9°  3) 48.0 N @ 201.3°  4) 92.7 km/hr @ 297.2°  5) 59.8 N @ 205.8°  6) 6.32 m/s @ 111.7°  7) 162 m @ 317.6°  8) 7440 N @ 121.8°