Question

explain why the instantaneous velocity of a moving object at an instant of time, t, cannot be found from a position function s=f(t) using only arithmetic and algebra what specific additional mathematical idea is needed? how does this idea allow us to make mathematical sense of instantaneous velocity?

Answer 1

becasue position isnt a measure of speed

Answer 2

the slope of a line at a single point turns out to be 0/0 which is useless

Answer 3

we need the idea of a limit, or a derivative, to calculate an istant rate of change

Answer 4

thank you very much