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

  • Thread starter th3plan
  • Start date
  • #1
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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!
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
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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.
 
  • #3
92
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Yes. I got that but how do i solve for the dy/dt and dx/dt thats what i dont get .
 
  • #4
rl.bhat
Homework Helper
4,433
5
dy/dt = 2e^2X*dx/dt = 2y*dx/dt.
Substitute dy/dt in the equation and solve for dx/dt.
 

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