Answered: A boat travels on a heading of 335o at…

A boat travels on a heading of 335o at a constant speed of 28 km/h relative to the water. If the current is 18 km/h with a heading of 60o , what is the velocity of the ship and its bearing?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 38P

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

A boat travels on a heading of 335o at a constant speed of 28 km/h relative to the water. If the current is 18 km/h with a heading of 60o , what is the velocity of the ship and its bearing?

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Step 1: Given:

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Step 2: To solve the velocity of ship into its horizontal and vertical components;

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Step 3: To solve the velocity of current into its horizontal and vertical components

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Step 4: To calculate the total velocity

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Step 5: To calculate the resultant velocity and the bearing of resultant velocity

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