suppose s(t) is the position of an object moving along a line at time t is greater than or equal to 0. What is the average velocity between the times t=a and t=b? What is the instantaneous velocity at t=a?

Question

suppose s(t) is the position of an object moving along a line at time t is greater than or equal to 0.  What is the average velocity between the times t=a and t=b?  What is the instantaneous velocity at t=a?

anonymous · Answer

and it asks which formula to use to find the average velocity?

parthkohli · Answer

Instantaneous velocity = first derivative

agent47 · Answer

Average velocity is the average value of a function, or (f(b)-f(a))/(b-a) i believe

agent47 · Answer

not in this question Parth

parthkohli · Answer

Oh well, I just realized that...

anonymous · Answer

Avg vel. = change in vel./ change in time

parthkohli · Answer

Yes, average value would work :)

anonymous · Answer

the formula i got was s(b)-s(a)/b-a but im not sure how to find the formula for instantaneous velocity

agent47 · Answer

for instantaneous velocity, just do f'(a)

agent47 · Answer

i mean s'(a)