bore (v.1)youdaoicibaDictYouDict
Old English borian "to bore through, perforate," from bor "auger," from Proto-Germanic *buron (cognates: Old Norse bora, Swedish borra, Old High German boron, Middle Dutch boren, German bohren), from PIE root *bher- (2) "to cut with a sharp point, pierce, bore" (cognates: Greek pharao "I plow," Latin forare "to bore, pierce," Old Church Slavonic barjo "to strike, fight," Albanian brime "hole").

The meaning "diameter of a tube" is first recorded 1570s; hence figurative slang full bore (1936) "at maximum speed," from notion of unchoked carburetor on an engine. Sense of "be tiresome or dull" first attested 1768, a vogue word c. 1780-81 according to Grose (1785); possibly a figurative extension of "to move forward slowly and persistently," as a boring tool does.
fast (adj.)youdaoicibaDictYouDict
Old English fæst "firmly fixed, steadfast, constant; secure; enclosed, watertight; strong, fortified," probably from Proto-Germanic *fastu- "firm, fast" (cognates: Old Frisian fest, Old Norse fastr, Dutch vast, German fest), from PIE root *past- "firm, solid" (source of Sanskrit pastyam "dwelling place").

Meaning "rapid, quick" is from 1550s, from the adverb (q.v.). Of colors, from 1650s; of clocks, from 1840. The sense of "living an unrestrained life, eager in pursuit of pleasure" (usually of women) is from 1746 (fast living is from 1745). Fast buck recorded from 1947; fast food is first attested 1951. Fast lane is by 1966; the fast track originally was in horse-racing (1934), one that permits maximum speed; figurative sense by 1960s. Fast-forward is by 1948, originally of audio tape.
throttle (n.)youdaoicibaDictYouDict
1540s, "throat;" it appears to be an independent formation from throat, perhaps a diminutive form, not derived directly from the verb. The mechanical sense is first recorded 1872, short for throttle-valve (1824). Full-throttle (allowing maximum speed) is from 1848 in reference to steam engines.