ANSWERS

Assignment: Solving Vectors Analytically

1. a) r_x = -353.6 N r_y = 353.6 N

b) r_x = 112.5 km/h r_y = -194.9 km/h

c) r_x = 43.9 mph r_y = 33.1 mph

2. a) F = 365.3 N 19.2^O NoE

b) V = 32.0 m/s 75.5^O NoE

c) a = 19.2 m/s² 38.7^O NoW

3. r = 5.8 m q = 59^O
4. r = 13 m/s 22.6^O SoW
5. r_x = 259.8 mph r_y = 150 mph r = 282.1 mph 22.9^O NoE
6. F = 24.2 N 71.9^O NoW
7. V = 11.8 m/s 17.2^O NoE
8. r = 5 km 53.1^O NoW
9. F_x = 65.1 N F_y = 65.1 N
10. r = 261 km/h 73.3^O NoW
11. r = 509.9 km 78.7^O SoW
12. r = 231.6 km/h 76.3^O NoE
13. V = 65.2 m/s 147.5^O to the surface of the moon
14. r = 158.1 km/h 71.6^OSoW
15. a) r = 5 units 53.1^O SoE

b) r = 5 units 53.1^O NoE

16. a) d_i = (-3i - 5j) m d_f = (-1i + 8j) m

b) Dd = (2i + 13j) m or Dd = 13.15 m 81.3^O NoE

17. V_p = 509.9 km/h 11.3^O SoE