Question
Asked Oct 24, 2019
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The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 42.0 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 22.0 km/h.

How far from Grand Bahama is the hurricane 4.90 h after it passes over the island?

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Expert Answer

Step 1

Consider the east direction be X axis and the north direction be Y axis.

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В С А 60° W E

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Step 2

Displacement of the hurricane for the first three hours is

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A-(42.0 km/h(3h) =126 km A (126km (cos 60°)i+(126 km) (sin 60°) j (63 km)i (109.12km j

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Step 3

After 1.9 hours, the displacem...

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В - (22.0km/h) (1.9h) -41.8km B (41.8km

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