A shuttlecock is launched from the ground with an initial speed of 36.9838 m/s at an angle of 9.9728 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.1967 in an environment where the air density is 0.7584 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.
According to page [1], for the given values the maximum height is 1.892 m.
References
[1] https://www.desmos.com/calculator/on4xzwtdwz?lang=en
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