Sound travels about 750 miles per hour. if you stand in a canyon and sound a horn, you will hear an echo. suppose it takes about

Question

Brums [2.3K]

3 years ago

9

Sound travels about 750 miles per hour. if you stand in a canyon and sound a horn, you will hear an echo. suppose it takes about

3.5 seconds to hear the echo. how far away is the canyon wall, in feet

Physics

2 answers:

diamong [38] · Answer 1 · 2022-01-15T21:20:31+03:00

The answer to this question would be:3850ft

To answer this question, you need to convert the speed velocity from miles/hour into feet/second. The equation would be: 750 miles/hour x 5280 foot/mile x 1 hour/3600second = 1100 ft/s
Then multiply the time with the velocity= 3.5 second x 1100 ft/s= 3850ft

umka21 [38] · Answer 2 · 2022-01-15T22:36:01+03:00

The canyon is 3.8 ×10³ feet if the echo is heard after 3.5 seconds.

Further Explanation

Speed is how fast an object moves or how far an object travels per unit time. If the distance traveled and the total time of travel are known, the speed can be calculated using the formula:

$speed = \frac{distance}{time}$

In the problem, we are given:

speed = 750 mi/h
time = 3.5 seconds

We are looking for the distance traveled by sound which can be represented by the variable <em>d.</em>

We can solve for d by manipulating the speed formula to get the equation:

$distance \ (d) \ = speed \times time$

But before we can plug in the given into the formula, the speed must be converted in terms of seconds since the given time is also in seconds:

$speed \ = \frac{750 \ mi}{1 \ h} \times \frac{1 \ h}{60 min} \times \frac{1 \ min}{60 sec}\\\\\boxed {speed = 0.2083 \ \frac{mi}{sec}}$

Now that the speed in miles per second is known, the distance can now be calculated using the formula above:

$distance \ = speed \times \ time\\distance \ = 0.2083 \frac{mi}{sec} \times 3.5 sec\\\boxed {distance = 0.729 \ mi/tex]Now, since the problem requires the distance in feet, the conversion factor is used: 1 mi = 5280 ft[tex]0.729 mi \times \frac{5280 \ ft}{1 \ mi} = \boxed {3,849.12 \ ft}\\$