I haven't taken calculus yet. Okay. So it looks like an exact solution via differential equation is not going to happen. Some type of approximation will be required. One thing you might consider is doing some successive approximations to close in on a reasonable value. For example, ...
This section assumes you have enough background in calculus to be familiar with integration. InInstantaneous Velocity and SpeedandAverage and Instantaneous Accelerationwe introduced the kinematic functions of velocity and acceleration using the derivative. By taking the derivative of the positio...
Another approach for the problem is the calculus of variations method proposed by Haltiner et al. (1962). It is an analytic approach to weather routing that determines the path and the engine power of the ship. There are also many approaches using dynamic programming such as De Wit (1990)...