It is a mapping. The information provided is not sufficient to determine if it is a function, an inverse function or neither.
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Since 1967, a second is defined as the duration of 9,192,631,770 periods of the radiation which corresponds to the transition between levels of the ground state of the Caesium 133 atom. An alternative definition is 1/31,557,600 of a Julian year.
If a function has an inverse then it is a bijection between two sets. Each element in the first set is mapped to one, and only one, element of the second set. Therefore, for each element in the second set there is one, and only one, element in the first set. The function and its inverse, both define the relationship between the same pairs of elements.
In order to go five miles in three seconds, you would have to go 1.667 miles per second. Since there are 5,280 feet in a mile, that speed corresponds to 8,800 feet per second. Since there are 3,600 seconds in an hour, that speed also corresponds to 6,000 miles per hour.
A is a proper subset of S if every element of A is an element of S and there is at least one element of S that is not in A.The second condition can also be stated as A � S
S is a proper subset of T ifall elements of S are in T andthere is at least one element of T which is not in S.S is an improper subset if the second condition does not apply.