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/sci/ - Science & Math


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4374871 No.4374871 [Reply] [Original]

Good day /sci/, out of curiosity, if friction and air resistance were ignored, would an object of a given velocity reach the same height relative to its starting height regardless of the steepness of the hill?

I'm asking because obviously as the hill gets steeper the object will slow down faster, however it will have a smaller distance to travel to reach the same height and so perhaps the increased rate of decelaration is compensated for by this shorter distance?

(Fantastically well drawn picture for reference)

>> No.4374873

>would an object of a given velocity reach the same height
yes

>> No.4374874

>>4374871
total energy = mgh + mv^2 = const

>> No.4374878
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4374878

Thank you muchly gentlechaps