The time between two position points x 1 and x 2 is \(\Delta\)t = t 2 − t 1 . Elapsed time for an event is \(\Delta\)t = t f − t 0 , where t f is the final time and t 0 is the initial time. We can cal...The time between two position points x 1 and x 2 is \(\Delta\)t = t 2 − t 1 . Elapsed time for an event is \(\Delta\)t = t f − t 0 , where t f is the final time and t 0 is the initial time. We can calculate the instantaneous velocity at a specific time by taking the derivative of the position function, which gives us the functional form of instantaneous velocity v(t).