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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:09:50
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:10:05
which is what you need
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:10:05
but x=sin^2(Θ) not sin2Θ
1
0
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:10:10
???
0
1
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null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:10:18
https://cdn.discordapp.c…3969431642/2.png
2.png
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:10:24
breh, check what dx/dtheta is
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:10:46
um
1
0
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:10:52
2cs ?
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:10:58
how
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:00
what
0
1
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null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:04
chain rule?
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:11:05
that's a double angle formula
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:09
???????///
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:15
$$x = \sin^2\theta$$
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:11:18
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:19
ok?
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:33
$$\dv{x}{\theta} = \dv{\theta}\sin^2\theta$$
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:11:37
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:11:40
ye and sin^2(Θ) = 1/2(1+cos2Θ)
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:46
what?????
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:48
why would u do that
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:55
literally bring the power down
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:11:59
reduce power
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:12:02
and differentiate inside
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:12:07
oh
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:12:08
Chain rule
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:12:17
heck is this 👀
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:12:23
double angle formula
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:12:30
probably gets you to same answer anyways but uhhhhhhh
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:12:44
wait are you sureee thats right???
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:13:11
$$\cos2\theta = 1 - 2\sin^2\theta$$
0
1
157,922,913,658,339,330
ses
9242
ses
false
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:13:14
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:13:15
yh no, that's not right
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:13:28
(and u dont need it)
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:13:46
https://cdn.discordapp.c…675822120/ok.gif
ok.gif
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:13:48
i got it from here
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:13:57
u wrote +
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:14:09
oh ye my bad
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:14:14
i always get confused
1
0
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:14:30
You only need to remember 1 double angle formula for cos
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:14:32
and derive the rest
0
1
157,922,913,658,339,330
ses
9242
ses
false
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:14:38
ok so I use chain rule and get, dx = 2cosΘsin^2(Θ)
1
0
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:14:40
i usually just remember cos^2 - sin^2
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:14:45
no way.
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:14:56
btw is this Step?
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:15:04
what is step
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:15:09
idk, where is that question from
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:15:14
https://cdn.discordapp.c…6565554256/2.png
2.png
0
1
157,922,913,658,339,330
ses
9242
ses
false
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:15:20
just past exam for your school?
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:15:20
ocr is an a level exam board
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:15:26
it's from an ocr exam paper
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:15:38
ok well yh, just try avoiding making mistakes like tht 😂
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:15:44
.
0
1
null
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null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:15:53
If u make mistakes like that, then try writing out the chain rule fully
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:15:56
until u dont need to
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:16:15
but if u=sinΘ then i am doing u'*u^2
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:16:22
$$\dv{x}{\theta} = \dv{\theta}\sin^2\theta$$
0
1
157,922,913,658,339,330
ses
9242
ses
false
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:16:25
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:16:31
what no
0
1
null
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null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:16:46
$$\dv{x}{\theta} = \dv{\theta}u^2$$
0
1
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:16:49
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:17:00
$$\dv{x}{\theta} = \dv{u}{u}\dv{\theta}u^2$$
0
1
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:17:03
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
157,922,913,658,339,330
ses
9242
ses
false
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:17:06
$$\dv{x}{\theta} = \dv{u}{\theta}\dv{u}u^2$$
0
1
null
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null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:17:19
That's how i write the chain rule fully to make sure i dont f up
0
1
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help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:17:28
Its just 'swapping the denominator'
0
1
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:17:47
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:17:51
And if I make typo, its obvious 😂
0
1
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:18:22
yeah
1
0
null
null
null
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:19:08
so dx/dΘ = cosΘ* 2u
1
0
null
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null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:19:14
where u = sinΘ
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:19:42
so dx/dΘ = 2cosΘsinΘ
1
0
null
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:20:01
yh and u get there
0
1
null
null
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:20:51
ok so the integral becomes sinΘ/cosΘ * 2sinΘcosΘ dΘ
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:21:15
which is 2sin^2(Θ)
1
0
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:21:30
thanks
1
0
null
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
251,854,584,597,708,800
PapaBread
01/20/2022 16:21:57
Capital theta
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:23:01
i just copied this idk
https://cdn.discordapp.c…4714125358/c.png
c.png
1
0
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null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:23:26
.close
1
0
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null
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null
190
help-10
7a0a148512584c4cb374f628865d6cd1
312,401,433,561,399,300
Noki
01/20/2022 16:35:44
https://cdn.discordapp.c…03CBB60D40D8.jpg
A0C62EC8-6272-4E93-92C4-03CBB60D40D8.jpg
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Noki
01/20/2022 16:35:49
Just wanna check to see if I’ve done this correct
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GalliumYttrium
01/20/2022 16:40:26
could you show the question in a)?
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Noki
01/20/2022 16:43:44
Yeah
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Noki
01/20/2022 16:43:58
https://cdn.discordapp.c…1A2E822443F1.jpg
B20B26BE-4921-4729-958A-1A2E822443F1.jpg
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Noki
01/20/2022 16:44:17
It’s just asking for the max height which should just be the vertex right
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GalliumYttrium
01/20/2022 16:48:28
yeah it should be right
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Noki
01/20/2022 16:52:37
The time
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cheese
11/04/2021 07:03:56
could someone maybe help explain conceptually the part that i've double highlighted here? why c = 0 for the velocity of a particle function which starts at rest?
https://cdn.discordapp.c…50459932_n_1.jpg
251920858_1136993817125047_76089344350459932_n_1.jpg
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cheese
11/04/2021 07:04:12
if someone can just link up the maths with the physics stuff that would be good since i don't study physics
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cheese
11/04/2021 07:06:08
is this because velocity is how the position is changing, and for something which starts at rest the amount of change is just 0 anyways?
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cheese
11/04/2021 07:21:33
no @Mathematics Bot
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PapaBread
11/04/2021 07:26:22
Yes
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PapaBread
11/04/2021 07:26:33
Its just because it starts at rest
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cheese
11/04/2021 07:26:45
okay i think tht makes sense
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King_ftw
11/04/2021 07:27:29
if the c is non-zero then the velocity at x = 0 wont be zero
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cheese
11/04/2021 07:28:04
thanks @King_ftw
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erentar2002
01/20/2022 17:22:45
how do i solve this by hand
https://cdn.discordapp.c…2522/unknown.png
unknown.png
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erentar2002
01/20/2022 17:23:32
@Zen . go to #help-5|baylum
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Geopchad
01/20/2022 17:24:34
solve it like a normal system of equations
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erentar2002
01/20/2022 17:24:51
and how do you do that
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