It won't be the end, the same that cheques are still quite common in business. Cash usage will continue to fall, just like cheques did.
However large sports and entertainment venues are already taking the plunge and going cashless. The roll out will continue, businesses and their directors have realised you'll have little to no variances with card compared to cash, less cashier costs, no courier costs (G4S etc) and you'll usually get a better rate from the merchant providers if your card takings increase. (Worldpay etc.) It's win-win except those that have had a career in cash handling.
No need for security to protect those counting the soddin cash at large events either. (Did it years ago for two nights at a concert, because I was constantly told how hard it was, and within a year the place was largely cashless - well I solved the problem didn't I?)
The supermarkets will be the next to do it, albeit some years away yet. That'll be the biggest change if the older generation have to pay with plastic.