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!

Integration (displacement or position)

  1. Jun 4, 2007 #1
    1. The problem statement, all variables and given/known data
    the trouble is in the integration on the left side (go straight o my answer down the bottom of the page)... please help me...

    mg-u-kv=m*a

    where (all constant)
    m= mass= 3000
    g=gravity=10
    u=thrust=172000
    k=30

    v=velocity=variable
    a=acceleration=variable


    2. Relevant equations

    accel=v*dv/ds=dv/dt=a

    3. The attempt at a solution

    30000-172000-30v = 3000*v*dv/ds
    -142000-30v = 3000*v*dv/ds
    -(142000+30v) = 3000*v*dv/ds
    142000+30v = -3000*v*dv/ds
    (142000+30v)/v*dv = -3000*ds
    v/(142000+30v)*dv = -1/3000*ds

    and then integrate both sides, this is where my calculus stops

    i know the right side (-1/3000*ds) becomes -1/3000s + c
    where
    s= displacement or position and
    c= constant
    i have 2 scenarios

    when s=0, v=1000
    and what i need to find is when v=0 what is s?


    so once i integrate the left side i sub those values in.
     
  2. jcsd
  3. Jun 4, 2007 #2
    Are you sure about this transition?
     
  4. Jun 5, 2007 #3
    if you think you can do it without that transition... go for it... that's just how i interpreted the question
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?