At some point, the vehicle was built along with Kai's bike. It is unknown who built it, althought it is likely that Nya is its creator.
After the Battle of Stiix, the Ninja were falsely accused of committing crimes by Nadakhan, and the Police Commissioner made it a top priority to have them captured. The Ninja split up and went into hiding—Lloyd and Zane went to Domu and Jay and Cole went to Mega Monster Amusement Park. Kai and Nya used the bikes to head away from the city. In the meantime, the Commissioner hired Ronin to hunt down and capture the Ninja.
After Jay made his final wish, recent events were undone and the Ninja were never wanted by the police. As such, Kai and Nya never used the bikes to make their escape.