Final answer:
To find the total horizontal vector magnitude and the total vector magnitude, the horizontal component Ux is already given as 21.2 m/s, while the vertical component Uy needs calculation from provided equations. Then, use the Pythagorean theorem to find the resultant velocity magnitude by combining Ux and Uy.
Step-by-step explanation:
To calculate the total horizontal vector magnitude and the total vector magnitude, we need to apply the principles of vector addition. According to the given information, the horizontal component of the velocity is Ux = 21.2 m/s and, assuming the provided example continues from the earlier information, let's call the vertical component Uy, which we would calculate using the given equations.
Once the vertical component, Uy, is found, the total vector magnitude, often termed as the resultant velocity magnitude (Vtot), can be computed using the Pythagorean theorem:
As per the initial solution, the resultant vector was found to be 7.2 cm when using a ruler, which translates to a total velocity magnitude of Vtot = 7.2 m/s. However, without the actual value of Uy from the provided excerpts, the exact calculation cannot be completed. Normally, the angle provided would be used in conjunction with trigonometric functions to find Uy.