Roman and Tej decide to have a friendly race with their race cars on a straight road; Roman's car can accelerate at 20 meters per second per second and can achieve a maximum speed of 60 meters per second. This means once he reaches 60 m/s, his car will maintain a constant speed. Tej's car can only accelerate at 15 m/s^2, but can handle a speed up to 75 m/s. The two start at rest at the same point at the same time. The winner crosses the finish line after 8 seconds later. Assume that both cars were driven to their maximum potential. Use the following steps to determine who the winner of the race is. Use the frame of reference in which the direction that the racers are traveling in is positive. 4 1. Let's examine the motion of Roman's car first. (a) How much time does it take for Roman to reach his maximum speed? Your answer (b) How much time does Roman drive at a constant speed of 60 m/s? Your answer (c) Draw a velocity vs. time graph for Roman's motion. Add file 2 points 2 points 3 points 5s (b) How much time does Tej drive at a constant speed of 75 m/s? Your answer (c) Draw a velocity vs. time graph for Tej's motion. 1 Add file (d) Using the area the curve, plot out Tej's position vs. time graph. 1 Add file 3. Who is the winner of this race? Roman 2 points 3 points 3 points