1. Not finding help here? Sign up for a free 30min 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!

Basic calculus question (kinematics)

  1. Dec 4, 2012 #1
    Could someone point me to the proof or reasoning behind the steps:

    1) a = dv/dt
    2) a dt = dv
    3) ∫a dt = ∫dv

    I know this works, but I'm missing understanding in the math behind it, and I'm not sure what to type into google.

    Thank you very much
     
  2. jcsd
  3. Dec 4, 2012 #2

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    1) is the definition of acceleration, i.e, the derivative of velocity with respect to time.
    2)+3) are silly pseudo-steps, the mathematically CORRECT next step from 1) is:
    2a) [tex]\int{a}dt=\int\frac{dv}{dt}dt[/tex]
    3a) Now, using integration by substitution on the right-hand integral, we may, if we like, rewrite 2a) as:
    [tex]\int{a}dt=\int{dv}[/tex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Basic calculus question (kinematics)
Loading...