Some of Melbourne's coronavirus restrictions could be eased quicker than planned next Monday.

NSW residents can travel to South Australia for the first time in nearly six months as the state recorded its second day of no community transmission cases of COVID-19.

Investors have slashed $US50 billion ($A69 billion) from Tesla Inc's market value despite CEO Elon Musk's promise to cut electric vehicle costs so radically that a $US25,000 ($A34,588) car that drives itself will be possible, but not for at least three years.

Australia has signed onto a global coronavirus agreement in the hope of gaining early access to dozens of potential vaccines.

At least 25 pilot whales involved in a mass stranding on Tasmania's remote west coast have been guided back out to sea.

Melbourne is "absolutely on track" to have its coronavirus restrictions eased next Monday, despite Victorian new cases jumping to 28.

Queensland will shift its border zone 100km further south from next weekend, throwing open the door to residents in five more NSW council areas including Byron Bay.

Even the poorest performing face masks filter at least 50 per cent of aerosols released by coughing, Australian researchers say.

Women's legal experts have forecast a surge in demand for domestic violence services when financial coronavirus support is wound down.

Thousands of millionaires have been claiming the dole throughout the coronavirus pandemic but are set to be kicked off later this week when the asset test returns.