a. See the accompanying diagram. b. Vx = -22.8 units, Vy = 9.85 units. c. The original magnitude and direction are obtained.
Work Step by Step
a. See the accompanying diagram. b. Use equations 3.3a and 3.3b to find the x and y components. The angle is 156.6 degrees, measured from the positive x-axis. c. The components are obtained. Use the Pythagorean theorem 3.4a to find the magnitude of the overall vector, and the definition of tangent, equation 3.4b, to find the angle. The vector has negative x-component and positive y-component, and points up and to the left.