According to classical mechanics, a body at rest cannot reach infinite velocity. Classical mechanics is based on Newton's laws of motion, which describe the motion of objects in terms of forces acting upon them.
Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this can be expressed as F = ma, where F is the net force, m is the mass of the object, and a is its acceleration.
If an object is at rest, its initial velocity is zero, and therefore its acceleration will also be zero if no force is acting upon it. In order to accelerate an object, a force must be applied. However, according to classical mechanics, there is no force that can accelerate an object to infinite velocity.
As an object accelerates, its velocity increases, but there will always be a limit to how fast it can go. In classical mechanics, this limit is determined by factors such as the applied force, the mass of the object, and the presence of any resistive forces like friction or air resistance.
However, it is worth noting that classical mechanics is a limiting case of a more comprehensive theory known as relativistic mechanics, which incorporates the principles of special relativity at high velocities. According to special relativity, the speed of light in a vacuum is the ultimate speed limit in the universe. Objects with mass cannot reach or exceed the speed of light, regardless of the amount of force applied to them.