Okay, -t, so let's say we've got a graph of airplane velocity. From time 0 to time 0.5 (hours) it goes directly up from 100 to 600 mph. From 0.5 to 3.5 it does 600 mph. From 3.5 to 4.5 it goes directly down from 600 to 100 again. What's the total distance it travels, and how do you go about getting it?
If by directly, you mean constant acceleration, then I would think you could just use the average for 0.0 to 0.5 and 3.5 to 4.5 and then just multiply and add.
Area under the curve, Emily. Which should be two triangles and a rectangle, right? So, (600-100)*(0.5-0)/2 + 600*(3.5-0.5) + (600-100)*(4.5-3.5)/2 = 125+1800+250=2175.
t fearing cereal post:
I only have a few minutes until I have to teach a nerd class, so I'm cramming in all the posting I can.
Hi Sophia! You know, I always picture you as you were prom night in Chicago, all gussied up with tiara and your medal.
More math talk, please. This could be mathier.
Feh. I read the wrong answer. Which is good in that I think I calculated the problem correctly, but makes me feel dumb because I was agonizing over it. Mind you, they seem to think it's a problem testing an understanding of integral calculus, whereas I did it with 9th-grade geometry.
No, that's the "crazy hot sex" thing, which is for AFTER we wash the dog.
So I still gotta say, washing the dog sounds fun.
[silly me, fearing the cereal.]
It's integral calculus you can do with geometry. Best kind.
Mind you, they seem to think it's a problem testing an understanding of integral calculus
Well, I suppose it is, just a really trivial example.
[silly me, fearing the cereal.]
"Don't fear the cereal" was originally going to be the title of Blue Oyster Cult's biggest hit. Then they realized the Grim Reaper was potentially more terrifying than Captain Crunch. True story.
Romeo and Juliet are eating cereal in harmony
It IS fun, especially the patient yet deeply tortured expression on the pup's face as she suffers the whole process, including pleading looks over her shoulder as, horrors!, the warm water is poured over her.