A shuttlecock is launched from the ground with an initial speed of 30.9736 m/s at an angle of 8.7274 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.1481 in an environment where the air density is 0.8613 kg/m3. If the shuttlecock has a radius of 3.4 cm and a mass of 5.2 grams, what is the maximum height reached by the shuttlecock? Assume that the experiment is done near the surface of the earth.

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
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 40P
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A shuttlecock is launched from the ground with an initial speed of 30.9736 m/s at an angle of 8.7274 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.1481 in an environment where the air density is 0.8613 kg/m3. If the shuttlecock has a radius of 3.4 cm and a mass of 5.2 grams, what is the maximum height reached by the shuttlecock? Assume that the experiment is done near the surface of the earth.

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