A space shuttle travels at the rate of 3,094 miles per hour to reach its orbit at a height of 300 km from Earth. If 1 kilometer equals 0.62 miles, which of these conclusions is correct about the space shuttle?

It reaches its orbit in about 4 minutes.

It reaches its orbit in about 30 minutes.

After 5 minutes, it is 60 kilometers away from its orbit.

After 10 minutes, it is 60 kilometers away from its orb

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Verified Answer :

matthewlucas95 matthewlucas95 · Answer 1 · 2017-01-11T22:42:41-05:00

After 10 min it is 60 kilometers from its destination

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eurydike eurydike · Answer 2 · 2019-07-18T09:24:37-04:00

Answer:

Option A, It reaches its orbit in about 4 minutes.

Explanation:

The speed with which the space shuttle moves \(= 3094\) miles per hour.

The distance to which this space shuttle has to move is \(300\) kilometers

Given

\(1\) KM \(= 0.62\) miles

So \(300\)KM \(= 0.62 * 300 = 186\) miles

Lets explore each option one by one

Option D-

So, the distance covered by space shuttle in 10 minutes is equal to

\(3094 * \frac{10}{60} \\= 515 miles\\\)

hence , option D is incorrect

Option C -

the distance covered by space shuttle in 5 minutes is equal to

\(3094 * \frac{5}{60} \\= 257 \\\)miles

hence , option C is incorrect

Option B-

Time taken by space shuttle to reach orbit at 186 miles distance

\(\frac{186}{\frac{3094}{60} } \\= 3.60\)

hence , option B is incorrect

Therefore option A is correct