Use the angle at the tail of v(arrow above) and the magnutude of v to calculate the values of vx and vy. How do these values compare with those you measured directly for vx and vy?

I have no idea what you mean by

<<the angle at the tail of v(arrow above)>>

velocity, tail of the arrow...vector components....

To calculate the values of vx and vy using the angle and magnitude of v, you can use trigonometry. The magnitude of v represents the hypotenuse of a right triangle, while vx and vy represent the adjacent and opposite sides, respectively.

Here's how you can find vx and vy:

1. Identify the magnitude of v, let's call it |v|.

2. Determine the angle at the tail of v. Let's call it θ.

3. Use the following trigonometric formulas:
- vx = |v| * cos(θ)
- vy = |v| * sin(θ)

By plugging in the values of |v| and θ into these formulas, you can find the values of vx and vy.

To compare these calculated values with the measured values of vx and vy, you need to have the actual measurements available. If you've directly measured the values of vx and vy using different methods (e.g., using sensors or calculations based on other data), you can compare the calculated values with the measured ones to assess their accuracy or discrepancies.