Tesla's Chief Executive Officer Elon Musk and the all-electric Model S are scheduled to appear on The Late Show with David Letterman on April 29.

Tesla's Model S is allowed to appear on the set of the TV show because it meets strict carbon dioxide emission regulations which conventional cars and hybrids do not.

The prohibition of internal combustion engine cars is an ironic twist, seeing as Dave is a passionate car enthusiast who loves to wax about his favorite vehicles - but hey, it's a great opportunity for the Model S, wrote Musk in a newsletter Tuesday night.

Tesla's all-electric sedan model can be recharged from any electric power outlet or be quick-charged from an external direct current supply in only 45 minutes. One of its three battery options offer up to 300 miles per charge.

The vehicle costs about $4 to fully charge according to Tesla.

Tesla will showcase the vehicle in New York City on Thursday and Friday at the Plaza Hotel.

Musk said the automaker has received about 900 reservations of the Model S so far. The auto sells starting at $49,900 including a $7,500 US federal tax credit.