A light plane attains an airspeed of 500 km/h.The pilot sets out for a destination 800 km due north but discovers that the plane must be headed 20.0° east of due north to fly there directly. The plane arrives in 2.00 h.What were the (a) magnitude and (b) direction of the wind velocity?

A light plane attains an airspeed of 500 km/h.The pilot sets out for a destination 800 km due north but discovers that the plane must be headed 20.0° east of due north to fly there directly. The plane arrives in 2.00 h.What were the (a) magnitude and (b) direction of the wind velocity?

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 31P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

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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 light plane attains an airspeed of 500 km/h.The pilot sets
out for a destination 800 km due north but discovers that the plane
must be headed 20.0° east of due north to fly there directly. The
plane arrives in 2.00 h.What were the (a) magnitude and (b) direction
of the wind velocity?

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