Average velocity and instantaneous velocity equations

[Centurion]

Average velocity = change in position/change in time = s(b) -s(a)/b-a

Are s(b) and s(a) functions? Or is it just saying s(b) represents the position of the object at time b? Are functions always denoted as f(x) or g(x)?

And then the same thing for instantaneous velocity. Inst. velocity at t = a = lim h --> 0 s(a+h) - s(a)/h

 

[Deleted member 4993]

Average velocity = change in position/change in time = [s(b) -s(a)]/[b-a]

Are s(b) and s(a) functions? Or is it just saying s(b) represents the position of the object at time b? Are functions always denoted as f(x) or g(x)?

And then the same thing for instantaneous velocity. Inst. velocity at t = a = lim h --> 0 [s(a+h) - s(a)]/h

First you should use grouping symbols [] as shown - otherwise it means something else.

Are s(b) and s(a) functions? ........................................................................................................Yes

Is it just saying s(b) represents the position of the object at time b? .................................................Yes

Are functions always denoted as f(x) or g(x)?.................................................................................No