Accelerometer -- device on a parabolic track EDIT: Picture of problem in its entirety farther down. A device on a parabolic trac moves on the track described as y=x^2. Both in meters A$ find an expression for acceleration using position. B) what is a if x=20cm? My solution. First, I took dy/dx(x^2)=2x for velocity. We know the tangent line of a point on velocity is the acceleration. The tangent line is defined as the reciprocal of the function, the slope of the velocity is x/2. At .2m this equals .1 m/s^2 of acceleration. Am I right?