Why does apparent mass increase why speeds?

Watch
at.midnight
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I don’t get what the highlighted bit in the paragraph means. Is KE converted to mass at high speeds? Can someone please explain this to me? Thank you!

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Mr Wednesday
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Yes, the mass change for "ordinary" speeds is extremely small, but once you get to relativistic speeds (a reasonable fraction of c) the mass change becomes significant. This goes hand in hand with not being able to exceed the speed of light, as you get faster, you also get heavier and have to do more and more work to accelerate, so this clamps your ultimate speed to below c. One way to think about this is that the universe has to "put the energy somewhere", and uses the mass-energy equivalence for this, good old E=Mc^2.
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