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Projectile motion y=f(x) type , please help

  1. Apr 27, 2009 #1
    This is for my dynamics class, but anywaya. A particle moves along a curve y=e2x such that its velocity has a constant magnitude of v=4ft/s. Determine the x and y components of the velocity when y =5ft ?

    Im confused on this. So when i plug 5 into the equation is get .804 ft. Now thats the movement in the x direction. then i differentiate and get a tangent line to the curve. dy/dx=2e2x . Now im confused. What i do. Can someone please explain me this. Its bugging me like crazy!
     
  2. jcsd
  3. Apr 27, 2009 #2

    rl.bhat

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    A particle moves along a curve y=e^2x
    Take derivative with respect to time t.
    It is given that [(dx/dt)^2 + (dy/dt)]^2]1/2 = 4 ft/s
    Solve for dx/dt and dy/dt.
     
  4. Apr 27, 2009 #3
    Yes. I got that but how do i solve for the dy/dt and dx/dt thats what i dont get .
     
  5. Apr 27, 2009 #4

    rl.bhat

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    dy/dt = 2e^2X*dx/dt = 2y*dx/dt.
    Substitute dy/dt in the equation and solve for dx/dt.
     
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