Question:
If a particle traces the following equation
        x(t) = 10 + 20 t + 5.0 t2

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) = c1 + c2 t+ c3 t2,

the acceleration of this particle is simply 2c3.