Average Velocity of a particle

  • Thread starter lude1
  • Start date
  • #1
34
0

Homework Statement



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?

Answer: 20.086

Homework Equations





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​

However, the answer is 20.086.

What did I do wrong?
 

Answers and Replies

  • #2
35,431
7,294

Homework Statement



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?

Answer: 20.086

Homework Equations





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​

However, the answer is 20.086.

What did I do wrong?
The average value of a function f(x) on an interval [a, b] is
[tex]\frac{1}{b - a} \int_a^b f(x) dx[/tex]
 

Related Threads on Average Velocity of a particle

Replies
4
Views
3K
  • Last Post
Replies
3
Views
1K
Replies
2
Views
28K
  • Last Post
Replies
10
Views
1K
  • Last Post
Replies
4
Views
10K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
5K
  • Last Post
Replies
8
Views
5K
Replies
6
Views
4K
Top