The acceleration of a particle is defined by the relation a = A – 6f, where A is a constant. At t = 0, the particle starts at x = 8 m with p = 0. Knowing that at t = 1 s, v = 30 m/s, determine (a) the times at which the velocity is zero, (b) the total distance traveled by the particle when t = 5 s. %3D

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A: Solution is given as below:

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.