Answer to Question #135339 in Physics for Joshua

Question

A shuttlecock is launched from the ground with an initial speed of 39.9982 m/s at an angle of 5.2671 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.15 in an environment where the air density is 0.4385 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.

Answer 1

There is no analytical solution for this problem. Numerical solution would require too much space, but the problem can be solved with online calculators. According to Desmos.com, the height of the projectile will be 67.7 cm. Check the following link for the reference: https://www.desmos.com/calculator/on4xzwtdwz?lang=en