Question: Suppose that an engineer is working with a pathp(t) representing the position of an object. Suppose the engineer knows: the positionp(0)at t=0; the velocityv0at t=0;

Suppose that an engineer is working with a pathp(t) representing the position of an object. Suppose the engineer knows: the positionp(0)at t=0; the velocityv0at t=0; and the acceleration vectora(t) atalltimes between t=0 and t=1. Explain how the engineer can compute the total distance traveled between t=0 and t=1, as well as the location at time t=1. Give an example of a real-world problem the engineer might be solving using this method. Explain reasons why the calculated valuep(1) might be different from the correct real-world value. (Note: the acceleration vectora(t) may or may not be changing over time.)

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