Differerential Equations

• The derivative can be thought of as the slope of a curve.
• If you have an equation for velocity, you can get the location by integrating.
• A simple way to approximate this is to time slice it.
• If the forces on an object are constant, you integrate by mutliplying.
• Since gravity on earth is -9.81 m/s^2, an apple dropped from a tree at one time will be travelling at -9.81m/s after one second and -19.62m/s after two.
• More complex equations (than constant) require solving of differential equations.
• Palmer provides a link to a series of equations for solving these equations.
• Libraries exist.
• If you really need to do this, you're going to have to start exploring calculus.