Martin, who began working on the jetpack in 1981, told the Business Herald last year that it had always been his dream to build a personal jetpack that everyday people could use.
"I haven't left the company - the company has left me," he said.
Martin Aircraft boss Peter Coker said the BW-Air flying golf cart would help make Martin's dreams a reality.
"We thought this was a great way of showing the public that not only are we concentrating on saving human lives and looking at the future of first responders, but also at having fun," he said.
"We're only restricted by the imagination on how you might use the jetpack."
Like the regular jetpack, it will be able to fly to 1000m at speeds of up to 74 km/h.
But it will also carry the various accoutrements of golfing such as clubs and balls.
In the YouTube video, Watson said golfers were always looking to "speed up play" and the jetpack would allow them to do that.
"The biggest advantage I see is the bird's eye view," he said. "It's going to give you a perspective that you've been missing."
It could be a while before jetpacks become a regular sight at golf courses, however.
"It is an aircraft - you do need a pilots license to flight it," said Coker, a former Royal Air Force pilot.
"You would be flying it in areas where the regulatory authorities will want to have some knowledge around it first. I don't think it'll be happening overnight, let's put it like that."
He said Martin Aircraft remained on track to make its first deliveries of first responder aircraft during the second-half of this year and personal jetpacks in 2017 or 2018.
The company has previously said the first responder version would sell for US$250,000 ($354,000).
"Our intention will be to drive the cost down when it comes to the personal jetpacks," Coker said. "It won't need to have the same versatility and the same capabilities."