The Trans-Homers asteroids fly down to Earth. The Earth is also elecrified on their arrival, but I'm not sure how to calc that. Still, the speed is legitimate. Diameter of the Earth is 12756.2km.
= 2*atan(431/(1592/tan(70/2)))
= 0.255157025 rad
= 14.6194206456502975 degrees
Enter that through the angscaler, and we have a distance of 49722km to the Earth.
T = 49722km/3s
= 16574000/340.29
= Mach 48705.5159
And given they fly in a curve, it would actually be even higher.
Final Results
Trans-Homers arrive on Earth = Mach 48705.515