A football player runs down a field for 26 m, the turns right at 17 degrees to run another 15 m. What is the magnitude of his total displacement and the angle he runs?

Answer 1

d_2-x = 15cos(17°) = 14.345

d_2-y = 15sin(17°) = 4.386

Total in the x-direction: 26 + 14.345 = 40.345

Total in the y-direction: 4.386

Magnitude = √(40.345² + 4.386²) = √1646.918 = 41 m

Direction = tan^-1(4.386/40.345) = 6.2° to the right