# Average Velocity of a particle

1. May 4, 2010

### lude1

1. The problem statement, all variables and given/known data

The velocity, in ft/sec, of a particle moving along the x-axis is given by the function v(t) = e^t + te^t. What is the average velocity of the particle from time t=0 to time t=3?

2. Relevant equations

3. The attempt at a solution

Average velocity means the derivative formula, [s(t + Δt) - s(t)] / (Δt)
In other words, I get

[v(3) - v(0)] / (3-0)
[e3 - 3e3] / 3
And I got 26.447​

$$\frac{1}{b - a} \int_a^b f(x) dx$$