A poodle is about to begin chasing after a beagle at the dog park. At time t = 0, both dogs are at rest and the beagle is d = 3.5m ahead of the poodle. At this instant, the poodle - begins accelerating at a1 = 2.5m/s and the beagle begins - accelerating at a2 = 1.8m/s2. How much time t does it take for the poodle to catch the beagle? (Assume that the dogs run in the same direction in a straight line, and that they maintain these accelerations until the beagle is caught. ) As part of your representation, include a position vs. time plot that depicts both dogs. For the limit check, investigate what happens to if the poodle's acceleration is nearly equal to the beagle's acceleration (al -> a2)