Consider a particle with rest-mass and velocity . Suppose we're in an alternate universe in which the "cosmic speed limit" is only , and that the particle's mass varies with its velocity in the following way:
In this framework, Newton's Second Law takes a more general form ( denotes the net force applied to the particle):
The particle is initially at rest before a constant force is applied to it. At the instant at which , what is the particle's acceleration (in ) (to 2 decimal places)?
Note: All physical quantities are in standard SI units.