Answer: 354.5 mi/min
Explanation:
from the question we are given the following:
distance from the surface of the earth (s) = 844.5 mi = 1359091 m
radius of the earth (r) = 3963 mi = 6377830
time = 85.22 min = 5113.2 s
linear velocity = ?
distance of the satellite from the center of the earth (R) = 1359091 + 6377830
= 7736921 m
angular velocity = [tex]\frac{θ}{t}[/tex]
where θ = 2π
angular velocity = [tex]\frac{2π}{5113.2 }[/tex] = 0.00123 [tex]\frac{rad}{s}[/tex]
linear velocity = angular velocity x distance of satellite from the earth
linear velocity = 0.00123 x 7736921
= 9507.3 m/s x 60/309.34 = 354.5 mi/min
