I know this =3 , sound at sea level travels about 767 mph, mach 3 is 2,283 mph or simply 3 times the speed out sound =3 nowadays missiles can go up to speeds of mach 5 and higher, so I did my math =3
and while Daniel is fast on the ground Amber is not, but she can fly incredibly fast, I guess we could call both of them trail blazers X3 just putting it out there, Spartan being a machine and therefore not restricted by G-force where as Amber is, can fly way faster then she can, in high altitude he can just reach mach 10 (about 7,612 mph)
but if your question is how did Spartan know what Daniel did, he was linked to the hovercraft and was watching everything that happened through the cameras in the lab =3