Question

If v = 4.00 meters/second and makes an angle of 60� with the positive direction of the y�axis, what is the magnitude of vx? a. 2.00 meters/second b. 3.46 meters/second c. 6.92 meters/second d. 8.22 meters/second

Answer 1

To find the magnitude of the x-component of the velocity vector, we can use trigonometry. Given that the velocity (v) is 4.00 meters/second and makes an angle of 60 degrees with the positive direction of the y-axis, we can use the cosine function to calculate the x-component (vx).

vx = v * cos(angle)

vx = 4.00 * cos(60 degrees)

Using the value of cos(60 degrees) ≈ 0.5, we can calculate:

vx ≈ 4.00 * 0.5

vx ≈ 2.00 meters/second

Therefore, the magnitude of vx is approximately 2.00 meters/second.

The correct answer is a) 2.00 meters/second.