Answer to Question #237419 in Physics for sean

Question

Lester plays middle linebacker for DICES football team. During one play, he made the following movements. First, he back-pedaled in the southern direction for 2.6 meters. He then shuffled to his left (west) for a distance of 2.2 meters. Finally, he made a half-turn and ran downfield a distance of 4.8 meters in a direction of 240° counter-clockwise from east (30° W of S). Solve the following questions.

a) Illustrate in arrows the vectors being added

b) Label vectors A, B, and C

c) Solve for the Cx and Cy

Answer 1

$$C_x=4.8\sin30°=2.4\text{ m S}.\\ C_y=4.8\cos30°=4.2\text{ m W}.$$