An object moves along the z-axis with velocity function v(t) = 7-2t, in meters per second, for t≥ 0. (a) (1 point) When is the object moving forward? (b) (1 point) What is the object's acceleration function? (c) (1 point) When is the object speeding up? (d) (2 points) The object's position (x-coordinate) at t = 1 is z = 2. Find the position function s(t). (e) (1 point) Write a formula that uses s(t) to give the total distance traveled from t = 0 to t= 10. Your answer will not be a number.