D

Step 1: A body moving in a circular path with uniform angular velocity means that its speed is constant but the direction of its velocity is continuously changing.
Step 2: Since the magnitude of velocity (speed) is constant, the linear velocity does not change, thus the acceleration (Option A) is not constant in the sense of changing speed since it's directed towards the center of the circular path (centripetal acceleration).
Step 3: Momentum (Option C) depends on both mass and velocity, and since there is a change in direction of velocity, the momentum is not conserved; it is constant in magnitude but changes in direction.
Step 4: The kinetic energy is given by the formula $$KE = \frac{1}{2} mv^2$$. As the speed (magnitude of velocity) is constant, the kinetic energy remains constant (Option D).
Therefore, the correct answer is: D