Hatrack River Forum: Ouch!

This is topic Ouch! in forum Books, Films, Food and Culture at Hatrack River Forum.

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Posted by Phanto (Member # 5897) on :

I just spilled hot water on my finger. I have an official ouchie boo-boo. The world is out to get me!

*grumble grumble*

(Has to return to the textbook "College Physics" and is looking for reasons to avoid it.)

Posted by calaban (Member # 2516) on :

I burned my arm with battery acid swapping two batteries late friday night, It was great fun.

Posted by rivka (Member # 4859) on :

Shall we discuss heat transfer and other types of energy transfer, and how they apply to ouchie boo-boo formation?

Posted by Phanto (Member # 5897) on :

[Wink]

Instantaneous Ouchie Boo-boo formation: The rate of ouchie boo-boo formation as a function of time is 2 + (3)t^2. What is the instantaneous OBB formation at t = 10?

Answer:

F(x) = 3t^2 (ignore the constant 2 as it doesn't effect Instantaneous OBB formation)
F'(x) = lim. --> t2 - t1 = 0

[F(t2-t1)-F(t1)]/t2-t1 =

[3(t2-t1)^2-3(t1)^2]/t2-t1 =

3[t2^2-2(t2*t1)+t1^2-t1^2]/t2-t1 =
3[t2^2-2t2t1]/t2-t1 =
3t2[t2-2t1]/t2-t1

Ooops. I messed my OOB formation equation up somewhere. Grr... Well, this leaves me no choice but to get back to work. (Though I could have just used the basic formula and got 60 -- wait a second, is that right either? (is starting to feel on shaky grounds))

Posted by rivka (Member # 4859) on :

If t=10, clearly it's no longer "instantaneous," neh? [Wink]

Posted by SteveRogers (Member # 7130) on :

I've got all of you beat. I ran into a door. But it wasn't a clear glass door. It was a large, clearly visible wooden door. That locked right as I was headed for it.

The scar it caused will be a great story for the grandchildren.

Posted by Phanto (Member # 5897) on :

I'm going to take the obnoxious route, and respond with information overload to a simple joke. [Wink]

I think the instantaneous aspect refers to the exact moment; instead of calculating something using the average of two times. For instance, you could calculate the average slope of a quadratic function by taking two points and averaging. But that wouldn't be very good as you'd get a lot of different answers:

F(y) = x^2

(1,1)
(2,4)

Slope: 3

or:

(2,4)
(3,9)

Slope: 5

But instantaneous slope for x^2 is 2x!

And anyways, darn it, this isn't a "u all get pity and love" thread -- it's a "I get TONS of LOVE and PITY" thread. So there [Wink]

.

...

alright...

here...

*gives out love and pity*

*hmph!*

Posted by Tante Shvester (Member # 8202) on :

[Kiss]

There. Now doesn't that feel better?