instantaneous velocity

Noun

• The velocity of an object at any given instant (especially that of an accelerating object).
• The limit of the change in position per unit time as the unit of time approaches zero; expressed mathematically as $\backslash lim\_\{t\; \backslash to\; 0\}\; \backslash frac\{\backslash Delta\; x\}\{\backslash Delta\; t\}$