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A space telescope travels about Earth in a circular orbit at a distance of 380 miles from Earth's surface. It makes one orbit every 95 minutes. Find its linear velocity in miles per hour. (The radius of Earth is approximately 3960 miles.) Round to the nearest tenth place.

Respuesta :

Answer:

17217.44 miles per hour

Explanation:

h = 380 miles

T = 95 minutes = 1.583 hours

Radius of earth, r = 3960 miles

Let v be the linear speed.

[tex]v=\frac{2\pi \left ( R+h \right )}{T}[/tex]

[tex]v=\frac{2 \times 3.14 \left ( 3960+380 \right )}{1.583}[/tex]

v = 17217.44 miles per hour

Thus, the speed of the telescope is 17217.44 miles per hour.