Falcon 9 is an active partically reusable launch system. It is developed and formerly operated by SpaceX. Falcon 9 has been build in 3 different version: Falcon 9 v1.0, v1.1, v1.2 FT. There are also subvariants called blocks and SpaceX has stated that block 5 will be final subvariant of Falcon 9 v1.2 FT. Falcon 9 v1.0, v1.1 and v1.2 FT has been used to launch Dragon spacecraft to International Space Station through Commercial Resupply Service program. Falcon 9 v1.2 FT will be also used to launch Crew Dragon to International Space Station through Commercial Crew Development program. The vehicle operates out of Space Launch Complex 40 at Cape Canaveral Air Force Station, Launch Complex 39A at Kennedy Space Centre and Space Launch Complex 4-E at Vandenberg Air Force Base.

I recommend turning on "Advanced tweakables" in KSP settings.

To download each variant of Falcon 9, go to the "Files" section.

Here are my other projects.

Falcon 9 with Dragon

Falcon 9 v1.1

Falcon 9 v1.2 FT

Dragon

Crew Dragon

Falcon 9 v1.0 First Stage

Falcon 9 v1.1/1.2 First Stage (Reusable)

Falcon 9 v1.1/1.2 First Stage (Expendable)

Falcon 9 v1.0 Second Stage

Falcon 9 v1.1 Second Stage

Falcon 9 v1.2 Second Stage

Falcon 9 v1.0
T-0:00:02 - Main Engine Ignition
T-0:00:00 - Lift Off
T+0:02:01 - Main Engine Cut Off
T+0:02:06 - First Stage Separation
T+0:02:13 - Second Engine Ignition

Falcon 9 v1.1 (reusable)
T-0:00:02 - Main Engine Ignition
T-0:00:00 - Lift Off
T+0:01:33 - Main Engine Cut Off
T+0:01:38 - First Stage Separation
T+0:01:45 - Second Engine Ignition
T+0:02:15 - Fairing Deploy

Falcon 9 v1.1 (expendable)
T-0:00:02 - Main Engine Ignition
T-0:00:00 - Lift Off
T+0:01:59 - Main Engine Cut Off
T+0:02:03 - First Stage Separation
T+0:02:06 - Second Engine Ignition
T+0:02:15 - Fairing Deploy

Falcon 9 v1.2 (reusable)
T-0:00:02 - Main Engine Ignition
T-0:00:00 - Lift Off
T+0:01:33 - Main Engine Cut Off
T+0:01:38 - First Stage Separation
T+0:01:45 - Second Engine Ignition
T+0:02:15 - Fairing Deploy

Falcon 9 v1.2 (expendable)
T-0:00:02 - Main Engine Ignition
T-0:00:00 - Lift Off
T+0:01:59 - Main Engine Cut Off
T+0:02:03 - First Stage Separation
T+0:02:06 - Second Engine Ignition
T+0:02:15 - Fairing Deploy

Calculated with full thrust.