The relationship between mass and acceleration is defined by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be represented as:
F = ma
Where: F is the net force acting on the object, m is the mass of the object, a is the acceleration of the object.
This equation implies that if the force acting on an object remains constant, increasing the mass will result in a decrease in acceleration, and vice versa.
Regarding the point at which an object's velocity becomes infinite, it is important to note that, according to classical physics, it is not possible for an object with finite mass to achieve infinite velocity. As an object with mass approaches the speed of light, its velocity will increase, but it will never reach or exceed the speed of light in a vacuum, which is approximately 299,792,458 meters per second. According to the theory of relativity, as an object with mass approaches the speed of light, its energy and momentum increase without bound, making it increasingly difficult to accelerate further. This concept is summarized by Einstein's mass-energy equivalence equation, E = mc^2, where E represents energy, m represents mass, and c is the speed of light.