Problem 1. A particle is constrained to move in one dimension. The position of the particle as a function of time obeys the following equation: x(t) = B+8 + C12 + D2 (t + M2) + Ke-/T Explain carefully and completely your answer for each part of this problem as follows: . Part (a): Suppose B, C, D, M. K, and T are all constants with the "appropriate units". Suppose the time t is given in seconds. Suppose we want the position r specified in meters. What are the units of B, C, D, M, K, and T? Explain how you figured this out. . Part (b): Calculate the velocity of the particle as a function of time. Is the velocity constant? Explain. . Part (c): Calculate the acceleration of the particle as a function of time. Is the acceleration constant? Explain