Many experiments have been performed over decades and centuries to investigate the problem of absolute motion and the speed of light, with reported results ranging from complete null results and very small fringe shifts to large first order effects. All classical and modern theories, including ether theory, emission theory, and special relativity theory, have failed to consistently explain all of these experiments. In this paper, a new model of motion and the speed of light is proposed that can consistently explain many of the known light speed experiments including the Michelson-Morley experiments, stellar aberration, moving source, moving observer and moving mirror experiments, the Bryan G Wallace Venus radar range data anomaly, the GPS, the Ives-Stilwell experiments, the Marinov, the Silvertooth , and the Sagnac effect. The new model is proposed as follows. 1. Light always behaves as if it is emitted from the point where the source is relative to the observer/ detector at the instant of emission. 2. The speed of light in vacuum is always constant c relative to the observer/detector. 3. The effect of absolute motion of the observer/ detector is to create an apparent change in time of emission. 4. Light behaves as if it is reflected from the point in space where the mirror is/was at the moment of emission, with the speed of the reflected light equal to c ± 2v , where v is a component of the mirror velocity relative to the observer, which is perpendicular to the plane of the mirror. The new theory not only can explain why the Michelson-Morley experiments give null results, but also why the Silvertooth experiment gives large first order effect. It also reconciles the Michelson-Morley experiment and the Sagnac effect. This paper also solves one of the profound puzzles in physics: the speed of electrostatic and gravitational fields. Is the speed of gravity finite or infinite? The answer is that the speed of gravity has dual nature: finite and infinite. Suppose that the Sun disappeared at t = 0. Would Sun’s gravity on Earth disappear instantaneously or with the delay of the speed of light? At t = -8.3 minutes, the Sun ‘anticipates’ its own disappearance after 8.3 minutes and sends a zero gravitational field towards the Earth, which travels at the speed of light and reaches the Earth at t = 0, coinciding exactly with the instance of disappearance of the Sun!