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 63.0 degree north of west with a speed of 40.2 km/h. (Let represent east and represent north.) What is the unit-vector expression for the velocity of the hurricane? km/h + km/h It maintains this velocity for 3.50 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 + km/h What is the unit-vector expression for the displacement of the hurricane during the first 3.50 h? km + km What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h? km + km How far from Grand Bahama is the eye 5.00 h after it passes over the island? km

Explanation / Answer

v1=40.2*[-cos(63) i+sin(63) j]=-18.25i+35.81 j v2=25.2 j x1=v*t=-63.87i+125.33 j x2=25.2*1.5=37.8 j x=x1+x2=-63.87i+163.13 j |x|=175.18 km

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