Question:

If a particle traces
the following equation

x(t) = 10 + 20 t + 5.0 t^{2}

what is its acceleration (x in m and t in sec)?

Answer:

Note : Since you became an expert by now, if you are given a particle which traces a quadratic equation:

x(t) = c_{1} + c_{2} t+ c_{3}
t^{2},

the acceleration of this particle is simply 2c_{3}.