Einstein based his Special Theory of Relativity on the fact that
Light Ain't No Baseball. He concluded that the speed of
Light is the Only Truth in simultaneous events from different perspectives. Albert also knew that the speed of light (c) is the speed limit of the universe.
Special Relativity is mostly about what are called "inertial reference frames" - dynamic equilibrium near the speed of light (c). Remember, however, it's all relative You might observe an electron traveling past you at 90% the speed of light but that electron sees you doing the same speed in the opposite direction and both perspectives are correct.
Anyway, since light is the speed limit of the universe and you don't just hit a speed wall, acceleration according to Newton's Second Law isn't linear. At least as measured from an external perspective, mass increases with the speed of light acting like an asymptote in this graph:
Relativistic effects noticeable above 10% the speed of light
But remember, you don't notice the mass gain in yourself, you only notice it in somebody else. Kinda like the pot calling the kettle black or pointing out the speck in your neighbor's eye through the log in your own.