- #1
Jilvin
- 18
- 0
I am a "physics guru", at least at my high school's level (which isn't really anything at all). I know several advanced integration techniques, linear algebra, and fairly advanced methods for solving differential equations. Even with all of this mathematics background, I still have not taken the AP Physics C exam due to my school's (in my personal opinion) lax curriculum not offering it as of now.
So, with my 8 dollar "University Physics" book, I scanned through to the "challenge problems" (which only take about a minute or two of thought to complete). One of the problems had me analyze certain properties of the equation (showing a velocity dependent force):
m(dv/dt)= Cv2
So, with all my arrogance and background, I tackled this problem. However, I soon became infuriated by the fact that I could not integrate the RHS with respect to time! I drastically manipulated differentials, but it was of no use! This simple problem had stumped me!
Then, about an hour after I had given up in despair, I realized that the left hand side of the equation existed and that I could divide by the v2 term to separate the variables. Wow. Just... wow. Does anybody else have these discouragingly terrible brain farts?
So, with my 8 dollar "University Physics" book, I scanned through to the "challenge problems" (which only take about a minute or two of thought to complete). One of the problems had me analyze certain properties of the equation (showing a velocity dependent force):
m(dv/dt)= Cv2
So, with all my arrogance and background, I tackled this problem. However, I soon became infuriated by the fact that I could not integrate the RHS with respect to time! I drastically manipulated differentials, but it was of no use! This simple problem had stumped me!
Then, about an hour after I had given up in despair, I realized that the left hand side of the equation existed and that I could divide by the v2 term to separate the variables. Wow. Just... wow. Does anybody else have these discouragingly terrible brain farts?