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

Question

contestada

Respuesta :

matthewlucas95 matthewlucas95 · Answer 1 · 2017-01-12T04:42:41+01:00

After 10 min it is 60 kilometers from its destination

Answer Link

eurydike eurydike · Answer 2 · 2019-07-18T15:24:37+02:00

Answer:

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

Explanation:

The speed with which the space shuttle moves [tex]= 3094[/tex] miles per hour.

The distance to which this space shuttle has to move is [tex]300[/tex] kilometers

Given

[tex]1[/tex] KM [tex]= 0.62[/tex] miles

So [tex]300[/tex]KM [tex]= 0.62 * 300 = 186[/tex] miles

Lets explore each option one by one

Option D-

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

[tex]3094 * \frac{10}{60} \\= 515 miles\\[/tex]

hence , option D is incorrect

Option C -

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

[tex]3094 * \frac{5}{60} \\= 257 \\[/tex]miles

hence , option C is incorrect

Option B-

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

[tex]\frac{186}{\frac{3094}{60} } \\= 3.60[/tex]

hence , option B is incorrect

Therefore option A is correct