Question

What is the x and y components of a vector moving at 33 m/s at 34 degrees NW?

A. x=27.52 m/s, y=18.42 m/s
B. x=18.42 m/s, y=27.52 m/s
C. x=22.42 m/s, y=22.42 m/s
D. x=24.52 m/s, y=16.42 m/s

Answer 1

The x and y components of the vector are approximately 27.52 m/s and 18.42 m/s respectively.

Step-by-step explanation:

To find the x and y components of a vector moving at 33 m/s at 34 degrees northwest, we can use trigonometry. The x component (horizontal component) can be found using the formula: x = magnitude * cos(angle), and the y component (vertical component) can be found using the formula: y = magnitude * sin(angle).

Using these formulas, the x component is approximately 27.52 m/s and the y component is approximately 18.42 m/s. Therefore, the correct answer is option A: x=27.52 m/s, y=18.42 m/s.