3. You are a highway patrol officer, seated on a motorcycle, on a curvy section of Highway 2. The
post speed limit is 45 miles per hour on this stretch of the highway. You are monitoring traffic
with a radar gun. The first exit is 4.8 miles up the road. Your radar picks up a speeding car
traveling 66 mph. When you try to start your motorcycle to follow the car, it won't start. You try
again and again, and soon you fear that you won't be able to catch the speeding car before it can
turn off the highway. Finally, your motorcycle starts and you begin your pursuit 32 seconds after
the speeding car has passed you on the roadside.
A. How fast do you need to go to catch up to the speeding car at the next exit, assuming that
it continues to travel at 66 mph.
B. Illustrate, on a graph, the speed of the speeding car as well as your own motorcycle
during this pursuit.
C. Is your own speed reasonable and safe?
D. Explain why this is or is not a good location at which to monitor traffic.
Fig: 1
Fig: 2