Question

If you are 8.1 miles away from the lightning flash, how long will it takethe sound of the thunder to reach you.Answer: It will takeseconds for the sound to reach you.

Answer 1

It will take 38 seconds for the sound to reach you

Explanation

Step 1

Let

speed of sound: 767.269

speed of ligth : 670616629 mph

also

$\begin{gathered} \text{speed = }\frac{dis\tan ce}{\text{time}} \\ so \\ \text{time}=\frac{dis\tan ce}{\text{speed}} \end{gathered}$

Step 2

a)hear the thunder

let

distance =8.1 miles

time=t

speed = 767.269 mph

replace

$\begin{gathered} \text{time}=\frac{dis\tan ce}{\text{speed}} \\ =\frac{8.1miles}{767.269\text{ }\frac{\text{m}}{h}} \\ t=0.105\text{ hours} \end{gathered}$

Step 2

we have the time in hours, the question is asking for how many seconds, so we need to convert the hours into seconds

$1\text{ hour = 3}600\text{ sec}$

hence

$0.105\text{ hour}\cdot(\frac{3600\text{ sec}}{1\text{ hour}})=38\text{ sec}$

therefore,the answer is

It will take 38 seconds for the sound to reach you

I hope this helps you