Question

Convert the following vector from polar coordinates to rectangular coordinates.

45 m/s at 64*
A (19.7 m/s, 40.4 m/s)
B (40.4 m/s, 19.7 m/s)
C (45.3 m/s, 45.3 m/s)
D (28.1 m/s, 57.5 m/s)

Answer 1

Step-by-step explanation:

Given:

ρ = 45 m/s

φ = 64°

___________

x - ?

y - ?

x = ρ·cos φ = 45·cos 64° = 45·0.4384 ≈ 19.7 m/s

y = ρ·sin φ = 45·sin 64° = 45·0.8988 ≈ 40.4 m/s