Here again is our initial value problem: Find v = v(t) so that
We have specific values for g and c, both obtained experimentally: and .
We will use Euler's Method to calculate approximate values for the velocity v at n equally spaced points in a fixed time interval. The Euler procedure gives a better approximation to the exact solution if n is large rather than small. Thus, for convenience, we set n = 100. Our time interval will be 0 < t < 0.2 seconds -- the reason for this choice is suggested by the slope field on Page 3. Thus the distance between consecutive t values will be