Question

The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 40.5 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 25.5 km/h. How far from Grand Bahama is the hurricane 4.05 h after it passes over the island? Step 1 Assume that the Grand Bahama Island lies at the origin of the coordinate system shown in the diagram at below. Vector A represents the hurricane's displacement at 40.5 km/h and vector ธิ represents its displacement after it shifts course three hours later and proceeds at a speed of 25.5 km/h. Vector R represents the hurricane's displacement after a total time of 4.05h. north 60.0 west Vector A in the diagram has components to the west and to the north in this coordinate system while vector B has only a north component. During the first three hours after passing the island, the displacement of the hurricane is represented by vector A, and the storm travels a distance that is the magnitude of A. This distance is A viAr1 5.5 km/h km and the associated vector A is in a direction 60.0° north of west.

Answer 1