  We show that every quasihyperbolic geodesic in a John space admitting a
roughly starlike Gromov hyperbolic quasihyperbolization is a cone arc. This
result provides a new approach to the elementary metric geometry question,
formulated in \cite[Question 2]{Hei89}, which has been studied by Gehring, Hag,
Martio and Heinonen. As an application, we obtain a simple geometric condition
connecting uniformity of the space with the existence of Gromov hyperbolic
quasihyperbolization.
