(Solved): A police car traveling south toward Sioux Falls at 160km/h pursues a truck traveling east away f ...

A police car traveling south toward Sioux Falls at $$160\mathrm{km}/\mathrm{h}$$ pursues a truck traveling east away from Sioux Falls at $$140\mathrm{km}/\mathrm{h}$$. (See figure below). At time $$t=0$$, the police car is $$40\mathrm{km}$$ north and the truck is $$50\mathrm{km}$$ east of Sioux Falls. Calculate the rate of change of the distance between the vehicles at the instant $$t=0$$. Step 1. You will have to create a new variable. Click here for tips on how to do that. Step 2. Write a one sentence description of what your new variable measures. Get feedback on this if possible. Step 3. Create an equation that involves your new variable. Step 4. Solve the problem. It may help to organize your variables and data. Be accurate to 2 decimal places and include units.