A particle moves along the parabola with equation Y = x2 shown below.

A particle moves along the parabola with equation Y = ½x2 shown below.Suppose the particle moves so that the x-component of its velocity has the constant value vx = C; that is, x = CtOn the diagram above, indicate the directions of the particle's velocity vector v and acceleration vector a at point R, and label each vector.Determine the y-component of the particle's velocity as a function of x.Determine the y-component of the particle's acceleration.Suppose, instead, that the particle moves along the same parabola with a velocity whose x-component is given by vx = C/(1+x²)½Show that the particle's speed is constant in this case.On the diagram below, indicate the directions of the particle's velocity vector v and acceleration