1. A method of generating a trajectory-based game of chance on a gaming machine, the method comprising: receiving a request to initiate a trajectory-based game of chance; determining a game outcome for the trajectory-based game of chance; after the game outcome has been determined, generating a trajectory of a three-dimensional (3-D) game object in a 3-D gaming environment that corresponds to the determined game outcome; selecting an initial state for the 3-D game object in 3-D gaming environment wherein the initial state comprises an initial position of the 3-D game object in the 3-D gaming environment and an initial velocity of the 3-D game object in the 3-D game object; and displaying, as part of a game outcome presentation for the trajectory-based game of chance, a sequence of two-dimensional images rendered from the 3-D gaming environment to a display screen on the gaming machine, wherein the sequence of two-dimensional images comprises one or more two-dimensional images of the 3-D game object along its trajectory in the 3-D gaming environment.