Can I filter a list of velocities(from some sources like a RADAR) using butterworth filter?

I have to implement ButterWorth filtering for the accelerations received from the RADAR in my project using C++.

I understood the Butterworth filter will filter out the frequencies but quite not sure how it will filter the data set(an array of data). Assume that we already have cutoff frequency fc and sampled frequency fs.

Thank you.