A spaceship whose rest length is 350 m has a speed of 0.82c with respect to a certain reference frame?

Question

A micrometeorite, also with a speed of 0.82c in this frame, passes the spaceship on an antiparallel track. how long does it take this object to pass the ship as measured on the ship?

Answer 1

Approximately 1.2 microseconds.
Relative speed works out to be 0.98c,
using Vrel=(V1+V2)/(1+V1*V2/c^2), where c=3*10^8m/s, and V1=V2=0.82c.
Time=Distance/Vrel, where Distance=350m.