t+ k 4. A particle moves with velocity v(0) = m/s, where k is some 12 + 31 + 2 constant; let { =0 be the initial time. Suppose that at f = 1, the particle has moved to position 50 m, and the acceleration (the derivative of the velocity) at that time is measured at 1 m/s. Find an expression for the total distance d(t) travelled as a function of time. Final Answer: d(t) = -8Int + 1| +9In # + 2| + 50 + 8In(2) -9In(3) m