You are shown a video clip of a dog running in front of a blank wall. The observations are to be plotted using the horizontal and vertical axes labeled with seconds and meters, respectively. How many different graphs of this motion with respect to time could be produced if: \((a)\) No additional information is given?

(b) An origin is given?

(c) Both the origin and the length of the dog are given?

(d) An origin, the length of the dog, and the time interval between frames of the video clip are all given?