1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Integrating kinematics

  1. Mar 1, 2014 #1
    When you want to get velocity from accelleration i have been told you integrate.

    Howver v=at and so surley you can just multiply each term in the accelleratin expression by t.


    Surley you can just:
  2. jcsd
  3. Mar 1, 2014 #2


    User Avatar
    Science Advisor
    Gold Member

    The equation v=at is for the situation when the acceleration is a constant. If it is a function of t, you have to integrate. In that case the corresponding equation is dv=a(t)dt, which gives the infinitesimal change in velocity, dv during infinitesimal time interval dt when the acceleration function a(t) is known. When integrating over a finite time interval, you effectively add a large number of small velocity changes dv to get the total change in velocity, Δv.
    Last edited: Mar 1, 2014
  4. Mar 1, 2014 #3
    Thank you. Is there any proof for this. I learn better when I understand the theory behind a topic.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted