#I do not understand physics. Why is this wrong?

57 messages · Page 1 of 1 (latest)

solemn whale
reef sphinxBOT
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visual shale
solemn whale
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my expression wrong

visual shale
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which one

solemn whale
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what i did is d = at^ 2\

visual shale
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the one written in the pic

solemn whale
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yea

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the correct answer is d=0.5*at^2

visual shale
solemn whale
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velocity is equal to acceleration times time

visual shale
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v = u + at right

solemn whale
visual shale
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u being initial velocity

solemn whale
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but im assuming that time is equal to 0

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and position/distance

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is also 0

visual shale
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uh

solemn whale
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the correct formula is actually ut + 0.5 * at^2

visual shale
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yea

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u is zero

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ur assuming

solemn whale
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exactly

royal sonnet
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It's because distance, velocity, and acceleration are all functions of time. Velocity is the derivative of distance, and acceleration is the derivative of velocity.

solemn whale
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what i did is wrong

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?

royal sonnet
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Yeah.

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It's actually d = (1/2) at^2 + v_0t + d_0, where v_0 is the velocity at t = 0 and d_0 is the distance at t = 0.

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Assuming acceleration is constant.

visual shale
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what does underscore represent

royal sonnet
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Subscript.

visual shale
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oh

solemn whale
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to get at^2 * 1/2

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(I'm ignoring the rest cuz lets say we start from rest)

royal sonnet
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What do you mean "combine derivatives"?

solemn whale
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like what is the proper way to reach

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that expression

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where v_0 = 0

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and d_0 = 0

royal sonnet
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...if acceleration is the function a(t), you integrate a(t) twice.

solemn whale
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k

kindred axle
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@solemn whale to help explain things better and since I know there is a difference at least in the US.

Are you in algebra base physics or calculus base physics class?

kindred axle
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Ok then distance function

Velocity is the first order derived of distance function

And acceleration is 2nd order derived of the distance function. And then remember everything else techie said. If you have questions just ask

solemn whale
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if you want ofc

supple depotBOT
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apex predator

lost jay
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@solemn whale s=d in this case

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@solemn whale another way is with just at² you're assuming all of that acceleration is applied at the instant you start timing, however that is inaccurate. You will constantly accelerate over the time, which means your velocity will have a triangular shape under the graph. and if you recall the area of a triangle it is ½×base×height
your height is velocity which is at and your base is time which is t, so your distance travelled is ½×at×t or ½at²

kindred axle
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thanks apex I was eating and my latex is rusty since been out of school for a few years

lost jay
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np

solemn whale
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that makes sense