Serway & Jewett — Vectors: Problem 29

Review. As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction \( 60.0^\circ \) north of west with a speed of \( 41.0 \text{ km/h} \). (a) What is the unit-vector expression for the velocity of the hurricane? It maintains this velocity for \( 3.00 \text{ h} \), at which time the course of the hurricane suddenly shifts due north, and its speed slows to a constant \( 25.0 \text{ km/h} \). This new velocity is maintained for \( 1.50 \text{ h} \). (b) What is the unit-vector expression for the new velocity of the hurricane? (c) What is the unit-vector expression for the displacement of the hurricane during the first \( 3.00 \text{ h} \)? (d) What is the unit-vector expression for the displacement of the hurricane during the latter \( 1.50 \text{ h} \)? (e) How far from Grand Bahama is the eye \( 4.50 \text{ h} \) after it passes over the island?