1. A gaming system comprising: a housing; at least one display device supported by the housing; a plurality of input devices supported by the housing and including an acceptor; and a master gaming controller configured to operate with the at least one display device and the plurality of input devices to: (a) place a wager after the acceptor receives a physical item associated with a monetary value and following receipt of an actuation of a wager button; (b) following placement of the wager, initiate a trajectory-based game of chance; (c) determine a trajectory of a three-dimensional game object in a three-dimensional gaming environment used in the trajectory-based game of chance based on one or more trajectory rules, one or more object collision rules, and one or more object exit rules; (d) render a sequence of two-dimensional images from the three-dimensional gaming environment, wherein the sequence of two-dimensional images includes one or more two-dimensional images of the three-dimensional game object along the trajectory; (e) determine a game outcome for the trajectory-based game of chance; (f) display the rendered sequence of two-dimensional images on the at least one display device as part of a game outcome presentation for the trajectory-based game of chance; and (g) initiate a payout following an occurrence of a triggering event.