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num model ec

# num model ec - Numerical Modeling Extra Credit Project...

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Numerical Modeling Extra Credit Project Theory Describing the motion of a particle – its position, velocity and acceleration as a function of time – can be achieved fairly easily if the system is not too complex. However, nature quickly can become very complex, so much that an analytical solution (an equation for position or velocity as a function of time) can be too mathematically complex to attain. Numerical modeling techniques can often be used to solve such systems. Most of these numerical modeling methods involve taking a rather complicated system – perhaps one in which the acceleration varies with position, speed or time – and breaking into small intervals (of distance or time) and assuming that the acceleration is constant over each small interval. The smaller the interval, the closer the approximation is to reality. The Euler Method is a numerical modeling method that breaks a complicated motion into discrete intervals of time, and assumes that the acceleration is constant over each interval. The relation between the acceleration and velocities for some small time interval

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num model ec - Numerical Modeling Extra Credit Project...

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