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-   -   Topic : kinematics (https://www.askmehelpdesk.com/showthread.php?t=318353)

  • Feb 17, 2009, 12:28 AM
    akshaysomana
    topic : kinematics
    derive S= u + 1/2 at2
  • Feb 17, 2009, 04:05 AM
    Shelesh
    distance travel, s = average velocity * time


    average velocity = (initial velocity, u, + final velocity, v) / 2


    =>

    s = [ (u + v)/2 ] * t

    acceleration, a = (final velocity, v - initial velocity, u) / time taken, t

    making 'v' subject of formula

    v = u + at

    replace ' v = u + at ' in equation ' s = [ (u + v)/2 ] * t '


    =>

    s = [ (u + u + at)/2 ] * t


    s = [ (2u + at)/2 ] * t


    s = 2ut/2 + (at^2)/2 at^2 means a * t squared


    s = ut + (at^2)/2


    =>


    s = ut + 1/2(at^2)
  • Feb 17, 2009, 05:24 AM
    Shelesh

    REMEMBER:

    There are 2 condition:
    It must be a uniformly accelerated body and it should be a linear motion..

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