The equation of motion of a particle is s = t³ – 27t, where s is in meters and t is in seconds. (Assume t > 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 5 s. m/s2 (c) Find the acceleration when the velocity is 0. m/s2

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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.