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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.

    ie:
    a=4-0.2t

    Surley you can just:
    v=(4-0.2t)t
    v=4t-0.2t2
     
  2. jcsd
  3. Mar 1, 2014 #2

    hilbert2

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    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.
     
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