A small plane is flying horizontally due east in calm air at 150 mi/hr when it is hit by a horizontal crosswind blowing southwest at 30 mi/hr and a 10 mi/hr updraft. Findthe resulting speed of the plane and describe with a sketch the approximate direction of the velocity relative to the ground.Let the unit vectors i, j, and k point east, north, and upward, respectively. Begin by writing vectors describing the velocity of the plane, the crosswind, and the updraft.What is the position vector that represents the velocity of the plane relative to the ground?The vector is (Oi+ (Dj+ (O k.(Type exact answers, using radicals as needed.)

Given that: vp=150 mi/hr due eastw=30 mi/hr due southwestu=10 mi/hr due Upward (+z)

A small plane is flying horizontally due east in calm air at 150 mi/hr when it is hit by a horizontal crosswind blowing southwest at 30 mi/hr and a 10 mi/hr updraft. Find the resulting speed of the plane and describe with a sketch the approximate direction of the velocity relative to the ground.

A small plane is flying horizontally due east in calm air at 150 mi/hr when it is hit by a horizontal crosswind blowing southwest at 30 mi/hr and a 10 mi/hr updraft. Find the resulting speed of the plane and describe with a sketch the approximate direction of the velocity relative to the ground.

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 7CQ

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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 small plane is flying horizontally due east in calm air at 150 mi/hr when it is hit by a horizontal crosswind blowing southwest at 30 mi/hr and a 10 mi/hr updraft. Find
the resulting speed of the plane and describe with a sketch the approximate direction of the velocity relative to the ground.
Let the unit vectors i, j, and k point east, north, and upward, respectively. Begin by writing vectors describing the velocity of the plane, the crosswind, and the updraft.
What is the position vector that represents the velocity of the plane relative to the ground?
The vector is (Oi+ (Dj+ (O k.
(Type exact answers, using radicals as needed.)

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