You are a highway patrol officer, seated on a motorcycle, on a curvy section of highway 1. the posted speed limit is 45 miles per hour on this stretch of highway. you are
monitoring traffic with a radar gun. the first exit is 3.6 miles up the road. your radar
picks up a speeding car averaging 68 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 30 seconds after the speeding car has passed
you on the roadside.
how fast do you need to go to catch up to the speeding car? what is your average speed
in pursuit? illustrate the speed of the speeding car as well as your own motorcycle during
this pursuit.