an airplane is heading due east at the speed of 550 mi/h (246m/s) relative to the ground. the jet stream is blowing 30.0 degrees north of east with a speed of 53.0 mi/h (23.7m/s). determine the magnitude and direction of the jet stream velocity as measured in the airplane

an airplane is heading due east at the speed of 550 mi/h (246m/s) relative to the ground. the jet stream is blowing 30.0 degrees north of east with a speed of 53.0 mi/h (23.7m/s). determine the magnitude and direction of the jet stream velocity as measured in the airplane

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 16P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at...

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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

Expert Solution

Step 1

In this problem total velocity is the sum of velocity of plane and wind

Where, V_w= velocity of the wind

V_p= velocity of the plane

Step 2

Since the velocity of the plane in X- direction is zero so, total velocity in X-direction is given by,

Total velocity in Y-direction is given by

Hence total velocity is given by

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