A package is acted on by gravity and a drag force Fd = Cdv2 , where Cd = 0.035.
Initially the package is on an airplane at (0, 45) that has a velocity v and is flying at angle x. The package is to be dropped so that it lands on a pad located at (40,0). Find the coordinates (x,y) of the location where the package should be dropped so it lands on the pad. Solve the problem for the following three cases.
The solution must include a closed form solution of the system of nonlinear differential equations, with all the steps showing how the analytical solution can be derived.
Once dropped the package’s motion is described by the following equations.
m = 1 kg; g = 9.82 m/s2