Hi ! In this question, I will help you. This question uses two principles, namely the time for an object to fall freely and the time for sound to propagate through air. When moving in free fall, the time required can be calculated by the following equation:

$\sf{h = \frac{1}{2} \cdot g \cdot t^2}$

$\sf{\frac{2 \cdot h}{g} = t^2}$

$\boxed{\sf{\bold{t = \sqrt{\frac{2 \cdot h}{g}}}}}$

With the following condition :

t = interval of the time (s)
h = height or any other displacement at vertical line (m)
g = acceleration of the gravity (m/s²)

Meanwhile, for sound propagation (without sound reflection), time propagates is the same as the quotient of distance by time. Or it can be formulated by :

$\boxed{\sf{\bold{t = \frac{s}{v}}}}$

With the following condition :

t = interval of the time (s)
s = shift or displacement (m)
v = velocity (m/s)

<h3>Problem Solving</h3>

We know that :

h = height or any other displacement at vertical line = 19.6 m
g = acceleration of the gravity = 9.8 m/s²
v = velocity = 343 m/s

What was asked :

$\sf{\sum t}$ = ... s

Step by step :

Find the time when the object falls freely until it hits the water. Save value as $\sf{\bold{t_1}}$

$\sf{t_1 = \sqrt{\frac{2 \cdot h}{g}}}$

$\sf{t_1 = \sqrt{\frac{2 \cdot \cancel{19.6} \:_2}{\cancel{9.8}}}}$

$\sf{t_1 = \sqrt{4}}$

$\sf{\bold{t_1 = 2 \: s}}$

Find the time when the sound propagate through air. Save value as $\sf{\bold{t_2}}$

$\sf{t_2 = \frac{h}{v}}$

$\sf{t_2 = \frac{19.6}{343}}$

$\sf{\bold{t_2 \approx 0.06 \: s}}$

Find the total time $\sf{\bold{\sum t}}$

$\sf{\sum t = t_1 + t_2}$

$\sf{\sum t \approx 2 + 0.06}$

$\boxed{\sf{\sum t \approx 2.06}}$

<h3>Conclusion</h3>

So, the time needed before you hear the splash is approximately 2.06 s.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=help%20%5C%3A%20mo%20%5C%3A%20ako%20%5C%3A%20please.." id="TexFormula1" title="help \: mo \: a

morpeh [17]

bentar mo numpang cerita nih

jadi gini

eist yg takut cerita horor Jan di baca

awokawokawok

ok lanjut ya dek ke cerita nya :)

jadi gini di jalan,jalan lalu lintas di kampung,,,,em kyk gini,,,hmm...... kyk mana ku ceritakan ya dek,,,,bingung aku soalnya,,,,,hmm....kyk gini lah,,,,,,,,jalan ini di tengah² kebun/ladang nah kan,,,,, sebenarnya ada dua jalan mo pergi keluar masuk dari kampung ku ke kampung tetanga jadi pejalan kaki lebih suka lewat jalan tikus,,,,,yg punya mobil,kereta/motor,sepeda lewat jalan yg horornl itu yg kubilng tadi itu......,,,,nah,,,,,aku sama kawan²ku lewat jalan yg horor ini,,,,,,nah ngk nyangka ku lihat sosok putih,,,,y aku masih berpikir itu ngk bener ,,,,,trussss dua hari kemudian aku mo pergi ke kampung tetanga pake sepeda,,,,aneh ny sepeda aku berat dan,,,da-dan aku lihat sosok putih itu lagi ,,,aku jadi ngebut deh ,,,,Untung aja aku ngk jatuh ,,,,,klw di bilang suruk² ,,,setiap jalan aku ntah sama siapa² ttp ku lihat sosok putih itu,,,,nah ketika sore² aku jalan sama temen ku,,,,,eh ku lihat lagi,,,,aku penasaran aku aja deh temen ku buat nengok,,,sosok putih itu,,,,ngk nyangka sosok putih itu udh ngk ada ,,,,aneh ngab :v

dah lah sampe disini aja dulu ya dek

byee byee

$............. ... .$

6 0

2 years ago