Low-Speed Lorentzian Physics

Consider a particle with rest-mass $(m_0 = \SI{1}{\kilo\gram})$ and velocity $v$. Suppose we're in an alternate universe in which the "cosmic speed limit" is only $\SI[per-mode=symbol]{10}{\meter\per\second}$, and that the particle's mass varies with its velocity in the following way:

$m = \frac{m_0}{\sqrt{1-(\frac{v}{10})^{2}}}$

In this framework, Newton's Second Law takes a more general form ($F$ denotes the net force applied to the particle):

$F = \frac{d}{dt}(mv)$

The particle is initially at rest before a constant $\SI{1}{\newton}$ force is applied to it. At the instant at which $v = \SI[per-mode=symbol]{5}{\meter\per\second}$, what is the particle's acceleration (in $\si[per-mode=symbol]{\meter\per\second\squared}$) (to 2 decimal places)?

Note: All physical quantities are in standard SI units.