Assume that the positive x-axis points east, and that the positive y-axis points north. a house is located at (0, 0), and a runner leaves the house at time t = 0. at a constant velocity, she runs roughly northeast until time t = 10 when she reaches the center of town, located at (4, 3). at this point, she changes direction and slows down, but continues jogging at a (different) constant velocity until time t = 19 when she reaches the library, located at (4, 6).
1. find parametric equations that describe the path of the runner from her house to the center of town. make sure the parameter t is varying with time as indicated.