As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 63.0° north of west with a speed of 40.2 km/h. (Let i represent east and j represent north.) (a) What is the unit-vector expression for the velocity of the hurricane? km/h i+ km/hj 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. (b) What is the unit-vector expression for the new velocity of the hurricane? km/h j km/h i+ (c) What is the unit-vector expression for the displacement of the hurricane during the first 3.50 h? km i+ km j (d) What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h? km i+ km j (e) How far from Grand Bahama is the eye 5.00 h after it passes over the island? km

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 54P: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,...
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As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 63.0° north of west with a speed of 40.2 km/h. (Let i represent
east and j represent north.)
(a) What is the unit-vector expression for the velocity of the hurricane?
km/h i+
km/hi
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.
(b) What is the unit-vector expression for the new velocity of the hurricane?
km/h j
km/h i+
(c) What is the unit-vector expression for the displacement of the hurricane during the first 3.50 h?
km i+
km j
(d) What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h?
km i+
km j
(e) How far from Grand Bahama is the eye 5.00 h after it passes over the island?
km
Transcribed Image Text:As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 63.0° north of west with a speed of 40.2 km/h. (Let i represent east and j represent north.) (a) What is the unit-vector expression for the velocity of the hurricane? km/h i+ km/hi 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. (b) What is the unit-vector expression for the new velocity of the hurricane? km/h j km/h i+ (c) What is the unit-vector expression for the displacement of the hurricane during the first 3.50 h? km i+ km j (d) What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h? km i+ km j (e) How far from Grand Bahama is the eye 5.00 h after it passes over the island? km
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