To  move forwards at the rate of one second per second.
The Times Literary Supplement

It runs and will always head for the light, so plant it by a trunk and expect it to move forwards.
Times, Sunday Times

For in always striving to move forwards, we all forget to glance back and see how far we have come.
Times, Sunday Times

Use this summer to process what you need to leave behind in your past and move forwards to take on fresh opportunities.
The Sun