An accident occurred at the intersection of Sand Lake Rd. and International Dr. on March 3rd, 2023. This accident occurred between a delivery truck traveling northbound on International Dr. and a compact car traveling westbound on Sand Lake Rd. The accident occurred during a power outage, so the driver traveling westbound on Sand Lake Rd. had a flashing yellow light, and the driver traveling northbound on International Dr. had a flashing red light. Neither driver claims responsibility for the accident. During individual interviews, the following claims were given to the police officer at the scene:

The compact car driver claims: The delivery truck did not stop at the red flashing light. To have started braking prior to the collision, traveling at only 6 m/s westbound at the time of impact. The delivery truck driver claims: To have made a full stop before entering the intersection. The compact car did not slow down prior to the collision. The police officer observed: A set a tire tracks was left from the compact car starting at the point of collision to the point where it stopped 13m away. The compact car came to a rest 13m from the point of collision. The collision occurred 8m from the stoplight on the northbound lane of International Drive. The force required to drag a 130N compact car tire across the pavement at a constant velocity is 100N. The width of each traffic lane in the diagram below is 8m.

You should show calculations that you used to find the following values. Please note that these values may not be listed in the order that you may need to calculate them in. Coefficient of kinetic friction for the compact car tires. Speed of the delivery truck prior to collision. Speed of the compact car prior to the collision. Acceleration of the delivery truck needed to reach the calculated speed at the point of impact. Speed of each vehicle following the collision. In addition to calculations, you should provide a written testimony that explains who should be found at fault in this accident. Support your testimony using data from your calculations.

1. Start by finding the coefficient of friction.

2. Use the conservation of energy to find the speed of the compact car after the collision (we know that it ends up at a rest after sliding a distance of 13m, and we know that friction is what slows the car to a rest after the collision. So, we can set the work done by friction equal to the change in kinetic energy of the car to find the speed it was moving just after colliding.

3. Setup momentum equations & a kinetic energy equation and solve for the missing variables through substitution.