1. The problem statement, all variables and given/known data If S2 = at2+ 2bt+c, then the acceleration is A) Directly proportional to S B) Inversely proportional to S C) Directly proportional to S2 D) inversely proportional to S3 2. Relevant equations dS/dt = v dv/dt = A 3. The attempt at a solution Differentiating both sides, 2Sv = 2at + 2b Then again differentiating, 2SA + 2v2 = 2a So, S = (a-v2)/A We can say that B option is correct or not? as there is also a velocity term which is not constant and can be written as differential of S.