Tou are driving on the road at 20 m/s (45mph) and notice a red light about 120m away. There is no car in front of you and you expect the light to turn green in about 10 second. You plan to apply the brake only lightly in order to reach the light at the exact time it turns green and still maximize your speed at that moment. Doing so can save gas and thus helps to save the planet. Part A: Using a velocity v. time graph, what would be the ending time of your graph? Part B: For the second condition: What would be the area formed by your v(t) graph and the horizontal axis, between t=0 and ending t? Part C: Using the two conditions above, at what speed will you pass the light (as it turns green)? Part D: Using the conditions you had figured out, find the magnitude of the acceleration you must apply.