A driver is driving once again from Nogales to Tucson on I-19. Suddenly a roadrunner darts out into the middle of the road. (A roadrunner is a large bird that lives in the American desert southwest.)

It doesn’t see her at first, because it is focused on a tasty lizard is trying to catch. She is initially traveling at 110 km/hour, the roadrunner is 30m in front of her when she applies her brakes, and the brakes decelerate the car at 9 m/s^2.

She slams on her brakes, and the sound of squealing brakes alerts the bird to the onrushing car. Being an agile critter, it hops out of the way, squawking irately that its meal has been disturbed. You will need the quadratic formula for this problem.

(a) Write an equation of motion giving the cars position vs. time. Do any minus signs appear in your equation? If so, what is their physical meaning?

(b) Sketch a graph of the roadrunners position vs. time and label the position of the roadrunner on your graph.

(c) How long does the roadrunner have to get out of the cars way?

(d) The quadratic formula gives you two solutions to the quadratic. Which one is the physically meaningful answer? What does the other solution mean, if anything?