Curvilinear motion

1. FailPhysics

1
1. The problem statement, all variables and given/known data

A particle travels along the path y^2 = 4x with a constant speed of v = 4 m/s.
Determine the x and y components of the particle's velocity and acceleration when the particle is at 4m

2. Relevant equations

1st and 2nd derivatives??

3. The attempt at a solution

not sure what to do..

2. Apphysicist

108
Remember that the velocity vector is tangent to the curve at all points. So, you should find at what x-value is the particle at 4m (do you remember the integral definition of distance for a curve?), then find the derivative at that point...

Do you see where to go after that, given the magnitude of the velocity vector?