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Equation relating the hypotenuse and speed (calculates the speed required to reach the end of the hypotenuse)

Author: kyobankatuExecutions: 398
TOP/Shared Formulas (Science)/Physics (General)

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Have you ever found yourself wondering, “I think I could jump over this river, but…”? That’s when this formula comes in handy! If you know the length of the river, you can instantly figure out just how fast you’d need to jump to clear it!
Plus, it works even if the river is sloped.
Please enter the following values:
x: distance (0 ≤ x)
a: acceleration, with positive values in the downward direction
φ: angle (slope) relative to the horizontal plane of the river being jumped over
θ: angle relative to the horizontal plane in the direction of the jump.
x
m
a
m/s²
φ=
rad
θ=
rad
υ= m/s
Of course, since I came up with this formula on my own, please do not use it in the answer section of tests or similar situations.
Also, it does not take air resistance or similar factors into account.

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