Projectile motion y=f(x) type ,

[th3plan]

This is for my dynamics class, but anywaya. A particle moves along a curve y=e^2x 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 that's the movement in the x direction. then i differentiate and get a tangent line to the curve. dy/dx=2e^2x . Now I am confused. What i do. Can someone please explain me this. Its bugging me like crazy!

 

[rl.bhat]

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.

 

[th3plan]

Yes. I got that but how do i solve for the dy/dt and dx/dt that's what i don't get .

 

[rl.bhat]

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