a forest ranger is in a forest 2 miles from a straight road. a car is located c miles down the road. the forest ranger can walk 3 miles per hour in the forest and travel 4 miles per hour along the road. in the picture below, the forest ranger walks in a straight line to a point x unit from the end of the road on the left, and then along the road.

With any turning vehicle, the rear wheels follow a shorter path than the front wheels. the longer the vehicle is, the greater the difference will be. truck drivers initially swing out before making a turn. what isn't shown in this illustration is as car straightens out, the front wheels must travel a greater distance and the tail end drags on the shortest path.

3. manufacturing institutions, because capitalists  are about making money. 

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