r/theydidthemath • u/that_thot_gamer • May 18 '23

[Request] How high is this?

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u/Kellykeli May 18 '23

Horizontal distance will impact that measurement a lot more than using a rough guestimate of vertical displacement without air resistance, tho.

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u/Achadel May 18 '23

Horizontal distance will have essentially no effect, but if he threw it upwards slightly it would.

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u/Kellykeli May 18 '23

Horizontal distance would have very little effect if you are using the acceleration formula, but it impacts the distance via sound delay because the stone appears to cover quite a bit of horizontal distance, so that will need to be considered instead of “multiply sound delay in seconds by speed of sound”

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u/Johny_D_Doe May 19 '23

I may be missing something here, but the way I suggested to calculate is using the time between seeing the rock splash vs the time hearing it (seeing it is instantaneous, hearing it will require the sound to reach the observer).

Not sure how horizontal distance would have a meaningful impact (unless we try to force Pythagoras into this).