41 ¼ miles
Step-by-step explanation:
When leaving Earth's atmosphere;
15 miles / 2 sec
Therefore it travels 15/2 miles / sec
In 15 seconds the shuttle will have traveled;
15/2 miles * 15 sec
= 225/2
= 112 ½ miles
When entering the Earth's atmosphere;
2 3/8 miles / ½ sec
Therefore, in one sec it travels 2 3/8 miles * 2
19/8 * 2
= 19/4 miles / sec
In 15 seconds the shuttle will have traveled;
19/4 miles * 15 sec
= 285/4
= 71 ¼ miles
The difference in the distances traveled after 15 seconds when leaving and entering the atmosphere;
112 ½ miles - 71 ¼ miles
= 41 ¼ miles
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