The use of a vector quantity would be most appropriate in the situation of determining the net force that is acting on an object.
Vector quantities have both magnitude and direction, which is essential when calculating forces, as forces are vector quantities. Each force acting on an object can be represented as a vector, and to find the net force, you can sum these vectors, taking their directions into account.
In contrast, the other options relate to scalar quantities (like speed limits, temperatures, and times), which do not require consideration of direction.