Help with Calculus!!

Question

The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for e ≤ t ≤ 2e?

Question options:

1)	ln2
2)
3)
4)

Answer 1

s(t) = ln(t)

The average velocity is simply the change in distance divided by the change in time.

For the interval from e to 2e:

Δs/Δt = (ln(2e) - ln(e))/e = (ln(2) + ln(e) - ln(e)/e = ln(2) / e