The speedboat B is cruising to the north at 83 mi/hr when it encounters an eastward current of speed vc = 20 mi/hr but does not change its heading (relative to the water). Determine the subsequent velocity of the boat relative to the wind and express your result as a magnitude vrel and compass direction 0 measured clockwise from north. The current affects the motion of the boat; the southwesterly wind of speed vw = 23 mi/hr does not. 34 B Answers: Vrel = mi/hr i

The speedboat B is cruising to the north at 83 mi/hr when it encounters an eastward current of speed vc = 20 mi/hr but does not change its heading (relative to the water). Determine the subsequent velocity of the boat relative to the wind and express your result as a magnitude vrel and compass direction 0 measured clockwise from north. The current affects the motion of the boat; the southwesterly wind of speed vw = 23 mi/hr does not. 34 B Answers: Vrel = mi/hr i

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...

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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

The speedboat B is cruising to the north at 83 mi/hr when it encounters an eastward current of
speed vc = 20 mi/hr but does not change its heading (relative to the water). Determine the
subsequent velocity of the boat relative to the wind and express your result as a magnitude vrel and
compass direction e measured clockwise from north. The current affects the motion of the boat;
the southwesterly wind of speed vw = 23 mi/hr does not.
34
B
Uw
Answers:
Vrel =
i
mi/hr
i

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