ACTIVITY-GENERAL PHYSICS Worksheet: Analyzing Displacement Vectors Instructions: • • • • . Ax Determine the x- and y-components of the given vector. Calculate the magnitude of the vector using the Pythagorean theorem. Find the direction of the vector relative to the positive x-axis. Plot the vector on a quadrant plane. Write your answers on yellow paper. = A cose Ay = A sine A=(Ax²+Ay 2 2) tan 0 = Ax Ay -1 Ay 0 = tan Ax 1. Find the x- and y-components of a displacement vector with a magnitude of 12 m and a direction of 150° from the positive x-axis (second quadrant). 2. A person walks 45 m in a direction of 210° from the positive x-axis (third quadrant). Determine the horizontal and vertical components of the displacement. 3. A hiker moves 80 km at an angle of 315° from the positive x-axis (fourth quadrant). Calculate the eastward and southward components of the displacement. 4. Determine the x- and y-components of a displacement vector with a magnitude of 25 m and a direction of 75° south of west (third quadrant).