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#mole problem
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The Animorphs are planning a trip to the Yeerk pool! In Animorphs # 17, The Underground, they must dig a long tunnel in mole morph. Let's help them plan out their trip with math! Their tunnel is dug in shifts and at a downward angle. On their return trip, they must dig out a turn around point and then ascend to the surface. I will share my solutions in a week or so if anyone is interested on trying out a solution of their own.
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Note: On pages 94 & 95, it turns out the Animorphs frequently encounter rocks they must go around and at about 25ft deep they luckily find a cave and can stop digging. For simplicity we will pretend they can just dig in a straight line to their destination.
a) Given their 2 hour time limit in mole morph, and assuming an average walk speed, w, what is the maximum length tunnel they can dig while being able to safely return to surface?
b) On page 93, Ax, Tobias, and Marco discuss how long it will take them to complete the tunnel. They estimate that the Yerk pool is 50 feet below ground and that for every 6 feet of tunnel, they dig 1 foot down. Assuming they can maintain this ratio, how much tunnel will they need? Hint: Sin(θ) = 1/6
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c) Given the length of tunnel required to reach the Yerk pool, what is the minimum walk speed required for the Animorphs to be able to safely walk down the tunnel and come back in time to demorph?
d) Rachel is the first person to start digging. She gets off to a rocky start but for simplicity, let's assume she begins to dig the tunnel immediately and continues until it’s time to return to the surface. They decide to take one hour shifts (page 91). If Rachel digs at a rate of r feet per second and must walk back up the length of the tunnel in 1 hour, how much tunnel length can she create? Solve symbolically (don't put in numbers just yet).
e) According to various pest control companies online, moles can dig at a maximum rate of about 15 inches per hour. Using this rate, and the walk speed estimated in a), how long is the tunnel from d)? (Plug in numbers now :) )
f) Hardest (but most fun???) The Animorphs take shifts digging. They must descend to the bottom of the tunnel, dig for some time, dig a turn around point, and finally ascend back to the surface. If they must return to the surface in 1 hour, what is the length shift N can dig? Note that each shift spends less time digging due to the extra tunnel length they must traverse.
e) If nothing had gone wrong >_> and the Animorphs were able to dig in a straight line, how many dig shifts would it have taken for them to dig 50 ft deep?
I don’t expect anyone to attempt a solution but I’ve been thinking about this all week. This is the only way I can put my mind at ease.
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diaryofmarhula · 7 months
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me making myself eggs for breakfast, lunch and dinner everyday cuz i hate everything else thats in the fridge
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aleiiii · 2 months
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Wukong and Na, sitting on his bed K I S S I N G
(MK appeared out of nowhere, shocked)
OHO it’s only fair that wukong gets a lil story too
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MK’s lesson that day was learning how to knock before coming in
obligatory sketch of when he comes back harharhar
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rui-drawsbox · 2 months
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funny guys with funny poses and funny expressions (suggestive doodles ahead)
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applejongho · 11 months
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dunno how to articulate my thoughts without sounding mean but i'll try my best; it's so exciting when jh tries a new color and it's also exciting when he also seems to be enjoying it, but i think a problem in fandom culture in general is that need to have ownership over your [thing you like], in this case, jh, a real person. like you can be sad that jh is losing or toning down his purple hair because it was a good color and he looks good, but also at the end of the day it's his hair on his head and what he wants to do w his hair is his business only.
i say this because jh said in the latest radio station that he is going to tone down his purple hair in a few days, not because he doesnt like the color, but because his hair grows outward, a common thing that happens with your hair when you are of asian or hispanic descent. he needs down perms to literally "put down" the hair instead of it sticking straight out of his head. and down perms can fuck with the color if it's dyed.
so with this in mind, jh keeps his hair "boring" and black because he would rather his hair not be sticking straight out of his head and he doesnt want to sacrifice more time at the salon for color correction when it can just be his natural color. and thats really valid of him, just as it's valid of any other member or kpop idol to constantly dye their hair. it's his choice just like theirs and fans should respect his choice more.
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fromperdition4 · 19 days
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No Kinn, that isn't a dumb question!
I would also like to know how you waltzed into the minor family compound, to the upper floors, with bandages sticking out of your shirt!
And also how Vegas keeps showing up at the main family compound with no advanced notice, to chat up your bodyguard!
Are the families just allowed to come and go as they please? Does anyone even make a report when they show up?
Or are Kinn and Vegas just very good at sneaking past all the guards that are (presumably) watching the perimeters?
Hell, let's make it a poll:
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spicyvampire · 1 month
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when you know you are about to get yelled at by your boyfriend for making him believe u died so you prepare the 🥺 attack
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worms-i-think · 8 months
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Felicia Luo is so pretty what. Ma’am you gotta share the name of that lip gloss
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Posting this mainly for those who go feral every time a new evilwoman is revealed <3 enjoy <3 I haven’t finished chapter 10 yet but the thoughts are brewing!
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^^ saw this & was like huh, those little guys in my phone are gonna be in a drooling frenzy lol
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cenfitto · 4 months
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i rhink i need to be studied for my turbo superhatred kf viktor arc@ne like i seriously cant see his face or be reminded of him without being filled with an incandescent rage
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smute · 2 months
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i cant believe im sick again this is ridiculous
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qwainte · 10 months
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I suddenly got a huge burst of creativity and decided to finish my OC portraits + update Brandi's portrait with my more detailed style to keep things consistent. I'm going to try to post more art on here because I want to get better and it's no good to keep doubting myself.
Brandi's original portrait + her bio: link
Info post for Dina/Bev/Fiona + extra and updated details about Brandi : link
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petit-papillion · 20 days
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Charles's Post-race Comments | Chinese Grand Prix | 21 April 2024
📸 Scuderia Ferrari
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bbcphile · 7 months
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Thanks, immune system, but I really didn't need the reminder of how much I dislike anaphylaxis.
Can I stop being allergic to my narcolepsy meds now?
Brought to you by MCAS, the bane of my existence
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marlynnofmany · 1 year
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If anyone’s curious about Tumblr’s current backlog, someone flagged the mole gender post as mature (probably for bigotry reasons) quite a while ago -- months? -- and today staff finally removed the flag.
So they’re working on things, but be prepared to wait.
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hobblt · 3 months
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I hate band aids bc two years ago I developed a random allergy. And now I hate the supposed hypoallergenic paper tape that I thought would be fine bc it has been in the past, but now I have hives. So in addition to my healing wound I have a itchy hive rash around it :(((
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pocket-deer-boy · 9 months
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I’m dealing with a little medical anxiety moment (not uncommon for me, usually it ends up being absolutely nothing but it fills me with dread anyways) and the one thing pulling me forward right now, is that if it IS somehow breast cancer? I will instruct the surgeon to give me the coolest fucking surgery scar possible and i can draw my oc’s with that. And everyone will be like “oh wow he has such a cool chest scar on only one chest that’s so sick” and they will be right. And now i want it to be breast cancer really bad but it’ll probably be something super lame
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