Sound - 2

A monkey drops a fruit from the top of a tree. He hears the sound of the fruit hitting the ground after 2.057 sec. If the monkey was 19.6 metres above the ground, what is the speed of the sound in the air??


The answer is 344.

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1 solution

Sravanth C.
Mar 18, 2015

Time taken for the fruit to reach the ground is given by t = 2 s g t=\displaystyle\sqrt { \frac { 2s }{ g } }

s = distance traveled

g = acceleration due to gravity

t = time taken

From which we get t = 2 × 19.6 9.8 = 2 s e c o n d s t=\displaystyle\sqrt { \frac { 2\times 19.6 }{ 9.8 } } =\quad 2seconds

Now, we get the time taken for sound to reach the monkey is 2.057 - 2 = 0.057 which is 0.057

Now, apply these values in the formula, Speed = distance/ time

Which is Speed = 19.8 0.057 \displaystyle\frac{19.8}{0.057} = 343.859 = 344(approx.)

Also see a similar question by me here and don't forget to up vote my solution and like my problem. . .

Yes taking initial velocity as 0 and using the equation of motion

s= ut + gt^2/2

we'll get the time and the we'l subtract it from 2.057. the just divide 19.6 to 0.057 to get the speed of sound

Abhisek Mohanty - 6 years, 2 months ago

Yeah !! sure !! I have always given an upvote to you and your brain. Will a solution of yours stand a chance ?? ha ha !!

Skanda Prasad - 6 years, 2 months ago

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Thank you very much! Did you check out my question???

Sravanth C. - 6 years, 2 months ago

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which question ??

Skanda Prasad - 6 years, 2 months ago

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@Skanda Prasad Click here to see my question.

Sravanth C. - 6 years, 2 months ago

You should specify in your problems to use g=9.8m/s/s because when I use 9.81 m/s/s I get 337.8 =(

Dylan Scupin-Dursema - 6 years, 2 months ago

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I will keep that in my mind next time .thank you.

Skanda Prasad - 6 years, 2 months ago

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@Skanda Prasad That was rude, I am sorry, I was upset I lost my points lol :)

Dylan Scupin-Dursema - 6 years, 2 months ago

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@Dylan Scupin-Dursema No problem, No need to ask sorry.... It was my mistake that I did not keep the things in my mind which are very important and are essential to the the community of brilliant when they sit to solve my problems. Anyway, did you like the question?

Skanda Prasad - 6 years, 2 months ago

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@Skanda Prasad I enjoyed it thanks! "_" :)

Dylan Scupin-Dursema - 6 years, 2 months ago

Did the same way.perfect.

Rama Devi - 6 years ago

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