1. (10 points) When rabbits do chance going across the yard, they usually go from right to left (left to right in the picture) in a straight line, until Diesel decides to give chase. Let's call the steps Diesel is sitting on the origin, and pick a coordinate frame that has the x-axis coming out the front door and the y-axis pointing in the direction Diesel is looking, i.e., left to right in the figure or right to left from Diesel's point of view. Note, you will have two equations for the position of both Diesel [xD(t), yD(t)] and the rabbit [xR(t), yR(t)].

Write a formula for the distance between Diesel and the rabbit as a function of time using the variables denoting position given above.