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!

Velocity of a falling body

  1. Nov 24, 2008 #1
    a small body, with the mass of M is dropped from an infinite height falling freefall, the air's friction on the body is defined by ==>f=-kv^2, k=const.
    find the velocity after an infinite amount of time.

    using newtons 2nd law,
    F=ma=mg-kv^2
    a=g-(kv^2)/m

    now, how do i find the velocity, i thought of integratning the acceleration, but i have a dependance on v in the acceleration..
    aat first i thought it was meant to be a=g-(kt^2)/m
    the answer is

    v(t=>inf)---->sqrt(mg/k)
    do i need to work with limits to reach this?? what must i do?
     
  2. jcsd
  3. Nov 24, 2008 #2
    Re: dynamics

    [itex]
    m \ddot{y} = -mg + k \dot{y}^2
    [/itex]

    with messy differential equations we can still often get stable state information out which is nice. The stable state will be when the mass is no longer accelerating any longer (it's hit terminal velocity). So set
    [itex]
    \ddot{y} = 0
    [/itex]
    and see what you get!
     
  4. Nov 24, 2008 #3
    Re: dynamics

    thanx
     
  5. Nov 24, 2008 #4
    Re: dynamics

    np man, glad I could help
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Velocity of a falling body
  1. Falling bodies (Replies: 3)

  2. Freely Falling Bodies (Replies: 2)

Loading...