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In 1967, pilot William J Knight set the world record for the fasted manned aircraft reaching a maximum speed of Mach 6.7, or 6.7 times the speed of sound. The speed of sound is approximately 7.6 x 102 miles per hour. What is Mach 6.7 in miles per hour? Provide your answer in scientific notation.

Respuesta :

Mach 6.7 in miles per hour: 5.09 x 10^3 mph

Here's how we can find the equivalent of Mach 6.7 in miles per hour:

Multiply the Mach number by the speed of sound:

Mach 6.7 * 7.6 x 10^2 mph

This gives us the speed in miles per hour for Mach 6.7.

Calculate the result:

6.7 * 7.6 x 10^2 mph

≈ 50.92 x 10^2 mph

≈ 5.09 x 10^3 mph (since 50.92 is approximately equal to 5.09)

Therefore, Mach 6.7 is equivalent to 5.09 x 10^3 miles per hour in scientific notation.

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