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Views: 1196
Kernel: Python 2 (SageMath)

Part A: Escape from Korath

Your team has navigated to the bottom of the cliff successfully but are confronted by an incline followed by a tunnel that then leads to the dimensional gate. Your amazing piece of tech (turning out to be very useful) indicates that the dimensional gate is at the end of the tunnel and must be entered at a speed of 20mph. It also indicates the angle and height of the incline and the length of the tunnel as displayed in the following screenshot from your tech. The tech also indicates that the base of the tunnel is made of a different surface than that of the incline. Your tech indicates that the incline is made of Leannium and you have conducted previous tests on this material that indicates that a sled can rest on an incline of the material without sliding as long as the angle of the incline is less than or equal to 14º. At the top of the incline are two sleds. You have one chance of escape, for all four of your group members to push the sled down the incline and get in, move through the tunnel and then the dimensional gate. Will you be successful?

Part B: CSI Menomonie

You are a group of scientists who are a member of an elite crime scene investigation unit who focus on traffic accidents. You have been called to the scene of an accident between two cars. Your initial assessment allows you to come to the conclusion that one of the cars has obviously run into the back of the other. Your team finds brake marks on the road. After examining the scene of the accident you conclude that one of the cars, a Volkswagen New Beetle was parked with its handbrake on and only the driver in it before the accident, while the other car, an Audi tt had a single male occupant (33 years old) who crashed into the back of the Beetle. Both cars were empty except for their drivers. The point on the road where the impact took place is indicated and you notice brake marks leading up to the impact and brake marks after the impact. After the impact, the cars were stuck together. The accident took place in a 40 mph zone and the road was dry. It is your task to determine if the person driving the Audi was speeding. There is a technical expert at the scene of the accident who will make any measurements you ask for.