From Etymology Online: bike: bike (n.) 1882, American English, shortened and altered form of bicycle.
From Wikipedia: Coke History: In 1886, when Atlanta and Fulton County passed prohibition legislation, Pemberton responded by developing Coca-Cola, essentially a nonalcoholic version of French Wine Coca. The first sales were at Jacob's Pharmacy in Atlanta, Georgia, on May 8, 1886.
But 1886 is only when Coca-Cola appeared. There is no mention on Wikipedia or on Coke's own history page as to when the word Coke showed up to the party, although they note this: Fast forward [from 1887] to the 1970s when Coca-Cola's advertising started to reflect a brand connected with fun, friends and good times. Many fondly remember the 1971 Hilltop Singers performing "I'd Like to Buy the World a Coke", or the 1979 "Have a Coke and a Smile" commercial featuring a young fan giving Pittsburgh Steeler, "Mean Joe Greene", a refreshing bottle of Coca-Cola.
Why did you stop looking there?
From Etymology Online:
coke: shortened form of cocaine, 1908, American English.
Coke: soft drink, 1909, shortening of brand name Coca-Cola.
One of the original ingredients of Coca-cola was coca leaves, the source of cocaine. (The other part of the name is from another ingredient - the kola nut.)