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Mathematics differntial equations (acceleration)

  1. Mar 29, 2014 #1
    1. The problem statement, all variables and given/known data

    part b (question 1 ) , my ans is -3/2 ... but the ans given is 2/3... i dont know where's my mistake...
    http://imgur.com/ZCrnKA8,bu5bblS [Broken]
    http://imgur.com/ZCrnKA8,bu5bblS#1 [Broken] thanks in advance!


    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Mar 29, 2014 #2

    Simon Bridge

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    you were given a(t)=3t2-10t
    you put dv/dt = a(t) and solved the initial value problem to find v(t) and thus v(2).

    in the next part you did fine up to: v.dv = a(t).dx but you cannot take a(t) outside the integration.
    since x changes with t, t must be a function of x.

    instead: since you have v(t) already:
    consider: what is the relationship between v(t) and x(t)?
     
  4. Mar 29, 2014 #3

    Simon Bridge

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    How did you get on?
     
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