Frost

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Old English frost, forst, of Germanic origin; related to Dutch vorst and German Frost, also to freeze.

wiktionary

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From Middle English frost, from an unmetathesized variant of Old English forst(“frost”), from Proto-Germanic *frustaz(“frost”), from Proto-Indo-European *prews-(“to freeze; frost”). Cognate with West Frisian froast(“frost”), Dutch vorst(“frost”), German Frost(“frost”), Swedish frost(“frost”), Icelandic frost(“frost”), Latin pruīna(“hoarfrost, frost, rime, snow”). Related to freeze.

etymonline

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frost (n.)

Old English forst, frost "frost, a freezing, frozen precipitation, extreme cold," from Proto-Germanic *frustaz "frost" (source also of Old Saxon, Old Frisian, Old High German frost, Middle Dutch and Dutch vorst), from the verb *freusanan "to freeze" (source of Old English freosan "to freeze"), from suffixed form of PIE *preus- "to freeze; burn" (see freeze (v.)). Both forms of the word were common in English till late 15c.; the triumph of frost may be due to its similarity to the forms in other Germanic languages. A black frost (late 14c.) is one which kills plants (turns them black) but is not accompanied by visible frozen dew.

frost (v.)

1630s, "to cover with frost," from frost (n.). Intransitive sense of "to freeze" is from 1807. Related: Frosted; frosting.