We present the results from a survey of interstellar absorptions towards the supernova remnant (SNR) RX J0852.0-4622. The distribution of K I absorbers along the distance of the background stars is indicative of a local region (d < 600 pc) strongly depopulated by K I lineabsorbing clouds. This fact is supported by the behaviour of the interstellar extinction. We find four high-velocity Ca II components with velocities of >100 km s −1 towards three stars and we identify these with shocked clouds of the Vela SNR. We reveal and measure the acceleration of two shocked clouds on the approaching and receding sides of the Vela SNR along the same line of sight. The acceleration, velocity and Ca II column density of the clouds are used to probe their parameters. The total hydrogen column density of both accelerating clouds is found to be similar (∼6 × 10 17 cm −2 ), which indicates that there is possibly a significant number of small-sized clouds in the vicinity of the Vela SNR.