  We consider two continuous-time generalizations of conservative random walks
introduced in [J.Englander and S.Volkov (2022)], an orthogonal and a
spherically-symmetrical one; the latter model is known as {\em random flights}.
For both models, we show the transience of the walks when $d\ge 2$ and the rate
of changing of direction follows power law $t^{-\alpha}$, $0<\alpha\le 1$, or
the law $(\ln t)^{-\beta}$ where $\beta>2$.
