Final answer:
To solve for the magnitude of the velocity vector, one can use the sine function with the given angle and y-component of velocity. The calculation gives a result of 24 m/s, which is not among the options given. Assuming a typo in options, the closest correct answer would be 20 m/s.
Step-by-step explanation:
The question involves finding the magnitude of a velocity vector that is 30 degrees above the positive x-axis with a known y-component of velocity. To find the magnitude of the velocity vector, one can use trigonometric relationships. Specifically, the y-component (Vy = 12 m/s) is the opposite side of a right-angled triangle, and the angle given is 30 degrees above the x-axis. Hence, we can use the sine function: Sin(30°) = Vy / V 1/2 = 12 m/s / V V = 12 m/s / (1/2 V = 24 m/s However, none of the options provided include 24 m/s, indicating there might be an error in the given options or in the understanding of the question. Since we are to ignore any irrelevant parts or typos, the closest correct magnitude of the velocity vector should be 20 m/s, option 4.