If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Average velocity and speed review

How to calculate average velocity and speed in one-dimension in word problems

Equations

EquationSymbol breakdownMeaning in words
v¯=ΔxΔtv¯ is average velocity, Δx is displacement, and Δt is change in time.Average velocity is displacement divided by time interval of the displacement.
vavg=dΔtvavg is average speed, d is distance, and Δt is change in time.Average speed is distance divided by time interval for the distance traveled.

Common mistakes and misconceptions

  • Average speed does not have to equal the magnitude of the average velocity. People may think that average speed and average velocity are just different names for the same quantity, but average speed depends on distance and average velocity depends on displacement. If an object changes direction in its journey, then the average speed will be greater than the magnitude of the average velocity.
  • Speed is a scalar, and average velocity is a vector. Average velocity indicates direction and can be represented as a negative number when the displacement is in the negative direction. Average speed does not indicate direction and can only be positive or zero.

Learn more

To check your understanding and work toward mastering these concepts, check out our exercises on:

Want to join the conversation?

  • leafers tree style avatar for user Inkit8
    What would the displacement be when going around a circle?
    (35 votes)
    Default Khan Academy avatar avatar for user
    • duskpin ultimate style avatar for user Jonathan Matta
      Imagine or get two thumbtacks. Stick thumbtack 1 in while making thumbtack 2 go in a circle starting from thumbtack 1. Stop thumbtack 2 wherever you want in the circle you're creating, and stick it in. Then tie a string from thumbtack 1 to thumbtack 2. THAT STRING IS YOUR DISPLACEMENT AND THE PATH YOU TRAVELED IS YOUR DISTANCE:
      Visit link for example:
      https://www.google.com/url?sa=i&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwiN0-HA3drgAhU6JTQIHdnXDhEQjRx6BAgBEAU&url=https%3A%2F%2Fwww.quora.com%2FA-body-is-moving-along-a-circular-path-of-radius-r-What-will-be-the-distance-and-displacement-of-the-body-when-it-completes-half-a-revolution&psig=AOvVaw2ahScm9ik2ti3H8hx2vSLS&ust=1551316231398291
      (58 votes)
  • blobby green style avatar for user Richard Neuhaus
    I've worked in the aerospace industry for 40 years. In all that time I've never once come across negative velocity. If I told my colleagues about this concept, they've wouldn't believe it.
    (27 votes)
    Default Khan Academy avatar avatar for user
    • blobby green style avatar for user AdeelA
      The "negative" Velocity just indicates that you are moving south or west. In most engineering firms for clarity, they don't just write a negative sign as it can be confused for south or west, and can be both. Instead they write x meters South or West, or whatever direction they need, as it is much more clearer and only one direction is possible, unlike the two with the negative sign which could confuse people working, and the negative sign would make no sense to those working who have never taken physics before or don't remember it.
      (2 votes)
  • male robot johnny style avatar for user Ruchira
    My question is...when someone reached to his car and then go back to his home because he forgot something, the average speed cannot be 0 because he has walked at least few meters. So, how am I suppose to calculate the average velocity?
    (2 votes)
    Default Khan Academy avatar avatar for user
    • starky sapling style avatar for user K.L.F
      Well the average velocity is displacement divided by time, so If Jonny walks to his truck from his house and realizes he forgot his wallet and then goes back to the house where he started over 68 seconds, his average velocity would be zero. The reason for that is because his displacement would be none, displacement is how far the object is from its original position, not the total distance traveled. Hope this helps!
      (20 votes)
  • blobby green style avatar for user 147227
    When it asks for a significant number, what would 0.0008 be?
    (10 votes)
    Default Khan Academy avatar avatar for user
  • duskpin tree style avatar for user Gandolf22
    I'm confused, because in this article, it says average speed is written as Vavg (V with a lowercase "avg"), but in Sal's video, he writes average velocity as the same thing. Which should I follow?
    (7 votes)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user killq
    what does "your answer should be an exact decimal." because on my calculator for example the answer would be 0.37 and when i went to put it in the answer would be 0.38 and i was getting lots of questions wrong because of this. am i doing something wrong or is it me being dumb?
    (4 votes)
    Default Khan Academy avatar avatar for user
    • blobby green style avatar for user Fayos08
      The question says to round off your answers to two significant figures.
      Did you get 0.37 exactly? I don't think so. If you got other digits after 0.37, then the reason why the correct answer is 0.38 is because the digit after 7 in 0.37 is a digit that can be rounded up so 1 will be added to 7 to make the answer 0.38 instead of 0.37
      In mathematics, when writing numbers in two significant figures, you must not forget to round up or down.
      You should probably brush up on rounding numbers up or down for better understanding.
      Hope this helps:)
      (3 votes)
  • duskpin ultimate style avatar for user Zainab
    How is average velocity a vector? Is it because it is direction-aware?
    (3 votes)
    Default Khan Academy avatar avatar for user
  • blobby green style avatar for user Curfew, Victoria 3
    I get the math I mess up the displacement and the velocity sometimes.
    (4 votes)
    Default Khan Academy avatar avatar for user
  • primosaur tree style avatar for user ISHAAN KEDAR
    if they ask us to round of to 2 significant values do we round of the greater or lower digit for ex 3.344 should be rounded off to 3.35 or 3.34
    (2 votes)
    Default Khan Academy avatar avatar for user
  • leaf green style avatar for user natbetanco711
    How would you calculate the displacement if for example, an object moved north (vertical) and then east (horizontal)? Im struggling to find the Avg. Velocity for this question: "A truck traveled 400 meters north in 80 seconds, and then it traveled 300 meters east in 70 seconds. The magnitude of the average velocity of the truck was most nearly (answer)." My professor said the answer was 6.6 m/s. But how?
    (3 votes)
    Default Khan Academy avatar avatar for user