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Ivenika [448]
3 years ago
7

Sound travels at a speed of about 340m/s in the air. How long will it take an explosion to be heard from a distance of 20 miles

away ?
Physics
1 answer:
Goryan [66]3 years ago
3 0

First convert the speed of sound from meters/second to miles/second:

340\,\dfrac{\mathrm m}{\mathrm s}\cdot\dfrac{3.281\,\mathrm{ft}}{1\,\mathrm m}\cdot\dfrac{1\,\mathrm{mi}}{5280\,\mathrm{ft}}=0.21\,\dfrac{\mathrm{mi}}{\mathrm s}

Then the time it takes for the sound to travel 20 miles is

\dfrac{20\,\mathrm{mi}}{0.21\,\frac{\mathrm{mi}}{\mathrm s}}=95\,\mathrm s

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the volume in terms of time t ⇒ \\V = e^{0.05t} + 399\\

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V = e^{kt} + 399

When v = 300 ;  \frac{dv}{dt}= - 15

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∴ \\V = e^{0.05t} + 399\\

Therefore, the volume in terms of time t ⇒ \\V = e^{0.05t} + 399\\

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Read 2 more answers
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