1. Limited time only! Sign up for a free 30min personal 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!

Finding general solution for y(t): Very Difficult

  1. Mar 17, 2010 #1
    Find y(t) assuming that y(0) = 4000


    2. Relevant equations

    This is what I know!


    v = 20√10 x ((1+Ae^(t/√10))÷(1-Ae^(t/√10)))

    and

    A = -1 when finding particular solution to satisfy initial condition v(0).

    Terminal velocity = 63.246 m.s^-2


    3. The attempt at a solution

    The question states to substitute the solution for velocity into th efollowing equation and solve for y(t).

    y' = v

    I dont really know where to start and have been trying numerous methods help desperatley needed. Thank You
     
  2. jcsd
  3. Mar 17, 2010 #2

    radou

    User Avatar
    Homework Helper

    You mean, the initial condition is v(0) = terminal velocity? If this is correct, then simply integrate v(t) to find y(t) and use the boundary condition to determine the integration constant. Also, I assume the "x" in your definition of v means "times"?
     
  4. Mar 17, 2010 #3
    Firstly yes the 'x' means times sorry bad formatting, second if that is the case how would I go about integrating v(t) to find y(t)?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Finding general solution for y(t): Very Difficult
Loading...