2. The position function for a particle moving in a straight line is given by the function s(t) = +3 - 9t2 + 15t + 3, where the position s is measured in metres and t is measured in seconds. Determine the total distance that the particle traveled in the first 10 seconds. Be sure to include a diagram illustrating the object's motion for full marks. [7 AC] 3. SELECT ONE [4TC] a) Show whether the line y = 2x + 4 is tangent to the curve y = x (3x - 4). b) A tangent to the parabola f (x) = 3x2 - 7x + 5 is perpendicular to the line x - y - 10 = 0. Determine the equation of the tangent