A displacement vector D is given as 40.0 m at an angle of 60.0 degrees EAST of NORTH. The D_x component and the D_y component of the vector are A) D_x = +34.6 m, D_y = +20.0 m. B) D_x = +20.0 m, D_y = −34.6 m. C) D_x = +20.0 m, D_y = +34.6 m. D) D_x = −34.6 m, D_y = +20.0 m. E) D_x = +34.6 m, D_y = −20.0 m.

Question

Quizplus · Accepted Answer

To find the D_x and D_y components of the vector, we need to resolve it into its horizontal (x) and vertical (y) components using trigonometry. D_x = D * sin(60) = 40.0 m * sin(60) = +34.6 m D_y = D * cos(60) = 40.0 m * cos(60) = +20.0 m Therefore, the best choice is A.

A Displacement Vector D Is Given as 40