You and your friend have decided to run a half- marathon together. At the instant when you are 100 m from the nish line, your friend is 8 m ahead of you and getting farther away. You would like to try to catch up to your friend before the race is over. At this instant, dened as t = 0 5, your friend is running at a constant speed of 3 m/s and you are running at a speed of 2.5 m/s. After 5 more seconds of running at constant speed (while you gather your energy for a sprint), you are then able to accelerate at 0.8 m/s2 for 2 s, and then maintain your new speed until the end of the race. (a) [4 pts] Draw a position versus time graph for you and your friend on the same graph, each labeled clearly. Indicate the known position and time values on the axes. (b) [4 pts] Calculate how long it takes you and your friend to each nish the race, from the time t = O 5. Then explain whether or not you are able to catch up to your friend before the end of the race