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Prove this

  1. Jul 12, 2007 #1
    Prove this....

    A particle of mass m is traveling along the x-axis with a constant horizontal velocity v0i. When the particle passes through the origin, it experiences a Drag Force which is proportional to the square of the particle's speed (Fd = - b/v^2i... drag coefficient b.

    Questions

    A) Show that the particle's speed is then given by v(x) = v0 e^-bx/m.

    B) Show that the particle's acceleration is then given by a(x) = -(b/m)v0^2 e^-2bx/m.
     
  2. jcsd
  3. Jul 12, 2007 #2
    try differential equation. You have the force , therefore can find the acceleration with respect to the velocity. solve the dif eq and find the velocity.
     
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