Suppose the acceleration of an object moving along a line is given by a(t) = - kv(t), where k is a positive constant and v is the object's velocity. Assume that the initial velocity and position are given by v(0) = 20 and s(0) =0, respectively. Complete parts a through c. a. Use a(t) = v'(t) to find the velocity of the object as a function of time. V(t) = b. Use v(t) = s'(t) to find the position of the object as a function of time. S(t) = dv dv ds c. Use the fact that = dt ds dt (by the Chain Rule) to find the velocity as a function of position. Choose the correct answer below. O A. v(t) = k . s(1) - 20 O B. v(t) = - k . s(t) - 20 O c. v(1) = - k . s(t) + 20 O D. v(t) = k . s(t) + 20