Answer:
This is an astrophysics question and we will use the following formulas to get the time 't' it will take the sun to move a distance equals to it's own diameter 'd'.
Recal:
ω = 2π rads,
Then the earth's angular velocity will be,
ω = (2πrads / (24h * 3600s/h)) = 7.27x10⁻⁵ rad/s
and note that the Angular Acceleration
∅= ω*t
9.28x10⁻³rads = 7.27x10⁻⁵rads x t
t = 127 s
Hence, the time (in seconds) it take for the sun to move a distance equal to its own diameter = 127seconds