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Mach and Mile Mathematics with the X-15

Exercise 1 Key

1: 354,200 feet/5,280 feet/mile = 67.08 miles

2: 354,200 feet - 45,000 feet = 309,200 feet

3: 309,000 feet / 5,280 feet/mile = 58.6 miles

4: answers will vary

5: 4,520 miles/hour - 4,486 miles/hour = 34 miles/hour

6: 4,520 miles per hour / 65 miles per hour = 69.5 times faster!

7: 762 miles/ hour - 87 miles/ hour = 675 miles/hour

8: 4,520 miles hour / 675 miles/hour = Mach 6.7

9: 6.7 times the speed of sound

Exercise 2 Key

1: 65 miles/hour / 762 miles/hour* = Mach .085
*from table

2: from table: for altitude range of 20,000 -30,000 feet, the speed of sound in the stated air conditions is 693 miles/hour. When the pilot is flying at Mach 1, he/she is flying at the speed of sound, or 693 miles/hour.

3: 762 miles/hour at sea level - 693 miles/ hour at 29,028 feet = 69 miles/hour

4: 354,200 feet - 29,028 feet = 325,172 feet
325,172 feet / 5,280 feet = 61.6 miles
answers will vary

5: 3,111 miles/hour / 662 miles/hour = Mach 4.7

6: 15 miles per hour / 762 miles per hour = Mach .02

That'9s two one-hundredths of the speed of sound!
Mach .02 X 693 miles/hour = 13.86 miles/ hour

 
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