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fredd [130]
2 years ago
11

14. A satellite orbits 22, 300 miles above the equator. It completes one revolution in 24 hours. Assume that the radius of the E

arth is 3, 960 miles. How far will the satellite travel in one day?​
Mathematics
1 answer:
quester [9]2 years ago
7 0

Answer:

Displacement = 0 mi

Distance = 164,996.45 mi

Step-by-step explanation:

In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.

When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.

The perimeter of a circle is given by the equation:

p=2\pi r

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

r=r_{earth}+h

where h is the height of the satellite, so the radius of the circle is:

r=22,300mi + 3,960 mi

so

r=26,260 mi

so now we can use the perimeter equation to get:

p=2\pi r

p=2\pi (26,260)

So the distance traveled by the satellite in one day will be:

P=164,996.45 mi.

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Step-by-step explanation:

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murzikaleks [220]

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You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2.


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Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number.


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Now we can use the factors of two perfect squares rule to factor the middle parenthesis.


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We would also want to split the term in the front.


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Now we would set each portion equal to 0 and solve.


First root

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Second root

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x = 0


Third root

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Forth root

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x = -2


Fifth and Sixth roots

x^2 + 1 = 0

x^2 = -1

x = +/- \sqrt{-1}

x = +/- i

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