An object moves along a coordinate line with velocity v(t) = t(7 - t) units per second. Its initial position is 2 units to the left of the origin. (a) Find the position of the object 19 seconds later. ANSWER: The new position is E units to the right of the origin. Note: If the object is positioned to the left of the origin at t = 19 seconds, then your answer above will be negative. (b) Find the total distance traveled by the object during those 19 seconds. ANSWER: The object traveled a total distance of units