The high noon sun shines straight down on an airplane that is climbing through the atmosphere at an angle of 8.0° from horizontal. The plane's climb rate is 750 meters per minute. This the rate at which its altitude increases. (a) What is the speed of the airplane? (b) What is the speed of the plane's shadow crossing the flat desert below?

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
Chapter25: Reflection And Refraction Of Light
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The high noon sun shines straight down on an airplane that is climbing through the atmosphere at an angle of 8.0° from horizontal. The plane's climb rate is 750 meters per minute. This the rate at which its altitude increases. (a) What is the speed of the airplane? (b) What is the speed of the plane's shadow crossing the flat desert below?
Expert Solution
Part a

The speed of the plane is defined as 

V = V0/sin(8)

Here, V is speed of airplane

V0 is the vertical component of velocity.

V = 750m/min / sin(8)

V = 5388.97m/min

 

 

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