As it passes over Grand Bahama Island, the eye of a hurricane is moving in a dir

Question

As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 57.0 degree north of west with a speed of 39.6 km / h. (Let i^ represent east and j^ represent north.) What is the unit-vector expression for the velocity of the hurricane? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error, km/h i^ + Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error, km / h j^ It maintains this velocity for 3.10 h, at which time the course of the hurricane suddenly shifts due north, and its speed slows to a constant 25.2 km / h. This new velocity is maintained for 1.50 h. What is the unit-vector expression for the new velocity of the hurricane? Km / h i^ + km / h j^ What is the unit-vector expression for the displacement of the hurricane during the first 3.10 h? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error, km i^ + Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error, km j^ What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h? km i^ + km j^ How far from Grand Bahama is the eye 4.60 h after it passes over the island? km

Explanation / Answer

a)39.6 sin 57 i + 39.6 cos 57 j

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