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We study the motion of a classical point body of mass M, moving under theaction of a constant force of intensity E and immersed in a Vlasov fluid offree particles, interacting with the body via a bounded short range potentialPsi. We prove that if its initial velocity is large enough then the bodyescapes to infinity increasing its speed without any bound "runaway effect".Moreover, the body asymptotically reaches a uniformly accelerated motion withacceleration E/M. We then discuss at a heuristic level the case in which Psi(r)diverges at short distances like g r^{-a}, g,a>0, by showing that the runawayeffect still occurs if a<2.

Speedy motions of a body immersed in an infinitely extended medium