The unit of the answer to this operation is meters (m).
The given expression represents a combination of units involving meters per second (m/s) multiplied by seconds squared (s^2 ). When these units are manipulated according to the operation 5m⋅s/(2s^2), the seconds in the denominator cancels out with one of the seconds in the numerator. This results in a unit of meters as the final answer, illustrating that the expression represents a quantity with dimensions of length. The operation essentially represents a displacement or distance traveled in a specific time interval, leading to the unit being expressed in meters.
In essence, the operation captures a relationship between distance and time, yielding a quantity in meters. Such expressions commonly arise in physics, particularly in the context of kinematics, where understanding the behavior of objects in motion requires consideration of both distance and time. The unit analysis helps clarify the nature of the quantity being calculated, reinforcing the interpretation that the result represents a length or displacement.