  We consider a particle which is randomly accelerated by Gaussian white noise
on the line 0<x<1, with absorbing boundaries at x=0,1. Denoting the initial
position and velocity of the particle by x_0 and v_0 and solving a
Fokker-Planck type equation, we derive the exact probabilities q_0(x_0,v_0),
q_1(x_0,v_0) of absorption at x=0,1, respectively. The results are in excellent
agreement with computer simulations.
