After moving, you and your roommates decide to drive the truck to your favorite pizza restaurant, which is $10$ miles from your dorm. Conveniently, there is another truck rental store next to the restaurant. While you are eating, you meet some friends who offer you a ride back to the dorm and suggest that you return the truck to the store next to the restaurant so you won't have to pay for any more mileage. On reading the contract, however, you discover that you would have to pay a "drop charge" of $$2$ per mile, based on the "distance" between the two truck rental stores.

A$.$ Is the "drop charge" based on distance or displacement? $($Hint: Contracts are written by lawyers, not physicists. What the contract calls "distance" may or may not be what a physicist would call "distance".$)$

B$.$ Now that the truck is at the pizza restaurant, what is the total distance traveled by the truck?

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C$.$ Now that the truck is at the pizza restaurant, what is the truck's total displacement, relative to the store where you rented it$?$

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D$.$ Now that you are at the pizza restaurant, is it cheaper to return the truck to the store where you rented it and pay mileage, or to the store next to the restaurant and pay the drop charge?

$[$Select$]$