A sports car at point A drives down a straight stretch of road CD. A police car at point...

A sports car at point A drives down a straight stretch of road CD. A police car at point B uses radar to measure the speed of the car, and obtains a reading of 80 km/h. For the position of the car given below, determine the speed of the car. Note that the 80 km/h speed measured by the radar gun is the rate of change of the distance between the car and the radar gun.

Let the road shown be straight between points C and D and beyond. Determine the shortest distance between the police car at point B and the road. Determine if the point where the road is closest to the police car falls within segment CD, or outside of this.