Ōban Star-Racers (オーバン・スターレーサーズ Ōban Sutā Rēsāzu?) is a French/Japanese anime created by Savin Yeatman-Eiffel of Sav! The World Productions.
Originally produced as a short movie titled Molly Star Racer, a television series was developed in cooperation with Jetix Europe, with animation production by HAL Film Maker and Pumpkin 3D. It aired in more than 100 countries including Japan. In the US, the series aired on ABC Family and Jetix/Toon Disney between June and December 2006.
The three main characters are:
Eva "Molly" Wei
The main protagonist of the series. An ambitious 15 year-old Earth girl who often subverts her school studies to improve her mechanical skills. Upon escaping from her harsh boarding school, she travels to find her father, Don Wei.
Jordan C. Wilde is a 17 year-old rambunctious army cadet who is hired by Don Wei to be the gunner for the Earth Team.
A skilled gunner and a loyal team member, Jordan is the seventeen-year-old military cadet in charge of defending the Whizzing Arrow during the races. Handling his explosive female partner Molly, however, is not his strongest area of expertise.
The character you are thinking of using a bow is Prince Aikka.
The Prince and Knight of Nourasia who races on the back of a giant flying beetle named G'dar, which acts as his vehicle. Noble, chivalrous and skilled in martial arts, he is a rival of Molly's, but also a close friend—since Molly finds him cute and the attraction seems to be mutual. Molly and Aikka promise each other that during their race they would not use weapons against each other, but near the end Molly is unable to prevent Jordan from firing.