How does instantaneous velocity differ from average velocity? Calculus Derivatives Instantaneous Velocity. Sep 2, Related questions What is Instantaneous Velocity? How do you find the instantaneous velocity of a curve? How do you find the instantaneous velocity of the particle? How can instantaneous velocity be found from a displacement-time graph? How do you find instantaneous velocity in calculus? Abhay Abhay 2, 4 4 silver badges 13 13 bronze badges.
The question itself is unclear because usually you would be provided with a time interval over which the experiment is performed in such questions. Add a comment. Active Oldest Votes. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Unreasonable results. At what time is the velocity of the particle equal to zero?
Is this reasonable? Privacy Policy. Skip to main content. Search for:. Describe the difference between velocity and speed. Calculate the instantaneous velocity given the mathematical equation for the velocity.
Calculate the speed given the instantaneous velocity. Instantaneous Velocity The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity , usually called simply velocity. Show Answer Time interval 0 s to 0. Speed In everyday language, most people use the terms speed and velocity interchangeably. Calculating Instantaneous Velocity When calculating instantaneous velocity, we need to specify the explicit form of the position function x t.
Calculate the average velocity between 1. To determine the average velocity of the particle between 1. What is the speed of the particle at these times?
Strategy The instantaneous velocity is the derivative of the position function and the speed is the magnitude of the instantaneous velocity. Show Answer [latex] v 0. We can calculate the instantaneous velocity at a specific time by taking the derivative of the position function, which gives us the functional form of instantaneous velocity v t.
Instantaneous velocity is a vector and can be negative. Instantaneous speed is found by taking the absolute value of instantaneous velocity, and it is always positive.
Average speed is total distance traveled divided by elapsed time. The slope of a position-versus-time graph at a specific time gives instantaneous velocity at that time.
Conceptual Questions There is a distinction between average speed and the magnitude of average velocity. Show Solution Average speed is the total distance traveled divided by the elapsed time.
Does the speedometer of a car measure speed or velocity? Show Solution Average speed. Problems A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s. Show Answer a. Glossary instantaneous velocity the velocity at a specific instant or time point instantaneous speed the absolute value of the instantaneous velocity average speed the total distance traveled divided by elapsed time. Licenses and Attributions. CC licensed content, Shared previously.
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