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Object 3, with initial condition p(0) = 10.0.

Consider again the velocities of four objects used in the previous set of problems. There is a more accurate variant of Euler’s method that approximates the rate of change during a time interval as the average of the rate of change at the beginning and at the end of the interval. For example, if v(0) = 1.0 and v(l) = 3.0, we approximate the rate of change for 0 ? t ? 1 as 2.0. Use this variant of Euler’s method to estimate the position at t = 4 and compare with the exact position at t = 4. Graph your results.

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