Moving on a Given Curve A particle is moving on a curve y = f (x) such that the x-component of the velocity of the particle remains constant. Determine the acceleration and jerk of the particle.
(a) Determine the angle between velocity vectors of curves (a) and (b) at their intersection.
(b) Determine the exponent n of y = xn such that the angle between velocity vectors of this curve and curve (a) at their intersection is 45 deg.