Answer:
Step-by-step explanation:
To find the x and y components of a velocity vector, you can use trigonometry. In this case, you have a velocity of 12 m/s at 34 degrees south of west.
The x-component (horizontal) is the part of the velocity vector in the west-east direction, and the y-component (vertical) is the part in the south-north direction.
Start with the magnitude of the velocity (12 m/s) and the angle (34 degrees).
To find the x-component (Vx), use the cosine of the angle:
Vx = 12 m/s * cos(34 degrees)
To find the y-component (Vy), use the sine of the angle:
Vy = 12 m/s * sin(34 degrees)
Now, calculate:
Vx ≈ 9.98 m/s (rounded to two decimal places)
Vy ≈ -6.47 m/s (rounded to two decimal places)
The negative sign for Vy indicates that it's in the south direction. So, the x-component is approximately 9.98 m/s to the west, and the y-component is approximately 6.47 m/s to the south.