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A car is traveling at $$112 km / h$$ due south at a point $$\frac { 4 } { 5 }$$ kilometer north of an intersection. A police car is traveling at $$96 km / h$$ due west at a point $$\frac { 2 } { 5 } kilometer$$ due east of the same intersection. At that instant, the radar in the police car measures the rate at which the distance between the two cars is changing. What does the radar gun register? Round your answer to three decimal places.