The velocity function and initial position function of runners A and B are given. Analyze the race that results by graphing the position functions of the runners and finding the time and positions (if any) at which they first pass each other. A v(t) = 8 sint B V(t) = 8 cost s(0) = 0 S(0) = 0 Find the position function of the runner A. s(t) =O

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.