The position at time t is greater than or equal to 0 of a particle moving along a coordinate line is given by s(t)=t^3+(3/2)t^2-6t a) Calculate the velocity and acceleration at time t b) Find the acceleration at each time the velocity is 0 c) When is the particle moving forward? When is it moving backwards?

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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.