HW 6.1.1: Movement along a Polygonal Path For this assignment, we are concerned with the movement of an object along a path in the plane. We are assuming that the plane is a coordinate plane and the object starts at the point (0,0). As the object moves long the path, each point on that path has two coordinates. The coordinates depend on the distance traveled along the path. Let us call this distance S, the length of the path from the origin to a point P on the path. 1. Evaluate the following a.) What value of S yields the coordinate point (2, 3)? b.) What value of S yields the coordinate point (4, 4)? C.) x(V13) = d.) y(1 + V13) = e.) x(2) = f.) y(4) = (Challenge) Write explicit formulas (piecewise functions) describing the path of x(S) and y(S). 2. Evaluate the following: a.) What value of S yields the coordinate point (2, 3)? b.) What value of S yields the coordinate point (4, 3)? c C.) x(1) = d.) y(1 + V10) = e.) x(2 + V10)= f.) >(3+ V10)= (Challenge) Write explicit formulas (piecewise functions) describing the path of x(S) and y(S).3. Evaluate the following: a.) What value of S yields the coordinate point (1, 3)? b.) What value of S yields the coordinate point (3, 1)? C.) x(V10)= d.) y(V10 + v5)= 2- e.) x(2) = B C f.) >(2.5) = (Challenge) Write explicit formulas (piecewise functions) describing the path of x(S) and y(S)