2. You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. [Or perhaps she does not understand the gravity ofthe situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t)=95t-9t-'\\2 feet from the point where the brakes were first applied. [il Must you steer to avoid the cow, or can you rely solely on your brakes? Explain. [ii] Graph j(t), j'[t), and j"(t] and interpret their meanings in context. (iii) Is there a time t after which the graphs in part {ii} probably do not accurately model the path of the car? [iyl Write a piecewise function using j[t) that would more accurately model the path of the car on the interval [0,10], assuming the car did not move after it stopped. Sketch this graph and its derivative