Chapter 2: Q26. (page 66)

When a sound travels through water, the distance $y$ in meters that the sound travels in $x$ seconds is given by the equation $y = 1440 x$ .
In air, the equation is $y = 343 x$ . Does sound travel faster in air or water? Explain.

Short Answer

Expert verified

The sound travels faster in the water.

Step by step solution

– Given information.

The distance y in meters that the sound travels through water in x seconds is:

$y = 1440 x$

The distance y in meters that the sound travels through air in x seconds is:

$y = 343 x$

– Find the speed of sound in water.

Substitute x=1 in $y = 1440 x$ .

$\begin{matrix} y = 1440 (1) \\ = 1440 \end{matrix}$

So, the sound travels 1440 meter per second.

– Find the speed of sound in air and then compare both speeds.

Substitute x=1 in $y = 343 x$ .

$\begin{matrix} y = 343 (1) \\ = 343 \end{matrix}$

So, the sound travels 343 meter per second.

Since $1440 > 343$ , therefore the speed of sound is greater in the water.

Thus, the sound travels faster in the water.

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Column A	Column B
Cost of one apple	Cost of one banana

When a sound travels through water, the distance $y$ in meters that the sound travels in $x$ seconds is given by the equation $y = 1440 x$ .
In air, the equation is $y = 343 x$ . Does sound travel faster in air or water? Explain.

Short Answer

Step by step solution

– Given information.

– Find the speed of sound in water.

– Find the speed of sound in air and then compare both speeds.

One App. One Place for Learning.

Most popular questions from this chapter

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When a sound travels through water, the distance yin meters that the sound travels in xseconds is given by the equation y=1440x.In air, the equation is y=343x. Does sound travel faster in air or water? Explain.

Short Answer

Step by step solution

– Given information.

– Find the speed of sound in water.

– Find the speed of sound in air and then compare both speeds.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Decision Maths

Geometry

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

When a sound travels through water, the distance $y$ in meters that the sound travels in $x$ seconds is given by the equation $y = 1440 x$ .
In air, the equation is $y = 343 x$ . Does sound travel faster in air or water? Explain.