A sailboat in Lake Huron is pushed by the wind along a bearing of 100° at 25 km/h. A slight current is also affecting the boat at 5 km/h along a bearing of 310°. Determine the resultant velocity of the sailboat.

A sailboat in Lake Huron is pushed by the wind along a bearing of 100° at 25 km/h. A slight current is also affecting the boat at 5 km/h along a bearing of 310°. Determine the resultant velocity of the sailboat.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 83AP: A diver explores a shallow reef off the coast of Belize. She initially swims 90.0 m north, makes a...

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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 sailboat in Lake Huron is pushed by the wind along a bearing of 100° at 25 km/h. A slight current is
also affecting the boat at 5 km/h along a bearing of 310°. Determine the resultant velocity of the
sailboat.

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Step 1: the vector sum of the boat's velocity due to wind and the boat's velocity due to the current

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Step 2: the resultant velocity of the sailboat

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