The horizontal force moves the 3 kg package up a smooth hill whose profile is given by y = x2/4, where x and y are in meters. It is known that the horizontal component of the velocity of the package is constant at 5 m/s. Friction is negligible.
Find:
a) Determine the velocity vector of the package in Cartesian coordinates when x = 3m.
b) Determine the acceleration vector of the package in Cartesian coordinates when x = 3m.