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.
computer science
Description
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
