As it passes over grand bahama island, the eye of a hurricane is moving in a direction 30◦ north of west with a speed of 51 km/h. three hours later, it shifts due north, and its speed slows to 34 km/h. how far from grand bahama is the eye 4.50 h after it passes over the island? answer in units of km.

183.52 km

Explanation:

Given

First hurricane is moving in a direction

speed of hurricane =51 km/h

After 3 hr it changes its direction changes to North and speed decreasing to 34 km/h

Position vector of Hurricane after 3 h

After 1.5 hr position vector of hurricane w.r.t previous one

thus

So total distance

i believe the answer would be:

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