Question

An ostrich is running at a speed of 17.0 m/s in a direction of 68.0° north of west. What is the magnitude of the ostrich's velocity component that is directed (a) due north and (b) due west?

Answer 1

The magnitude of the ostrich's velocity component due north is approximately 15.1 m/s, and the magnitude of the ostrich's velocity component due west is approximately 6.31 m/s.

Step-by-step explanation:

To find the magnitude of the ostrich's velocity component that is directed due north, we need to use trigonometry. The northward component can be found by multiplying the velocity by the sine of the angle. In this case, the magnitude of the northward velocity component is 17.0 m/s * sin(68°), which equals approximately 15.1 m/s.

To find the magnitude of the ostrich's velocity component that is directed due west, we again use trigonometry. The westward component can be found by multiplying the velocity by the cosine of the angle. In this case, the magnitude of the westward velocity component is 17.0 m/s * cos(68°), which equals approximately 6.31 m/s.