Interesting. I wonder what happened to that post. I tried to edit a mistake (the line after the "From conservation of energy" has an extra 1/2 that I tried to get rid of). I guess I screwed something up editing it.
Do you know calculus? I swear I posted something here last night, but it's gone now. If you know calculus I'll post it again. If not, I don't see how you can solve the problem.
Just to be clear, I'm using the 4th ed of HRK, simply titled Physics. Halliday, Resnick, and Walker wrote a newer book called Fundamentals of Physics that I am not familiar with. Chapter 6 of HRK pretty much has what you are looking for. In section 6.4 they show you the "calculus way" to derive...
It all comes from the definitions of position and velocity:
a = dv/dt and v = dx/dt. It's more useful to write in differential form:
dv = adt
dx = vdt
For constant acceleration you can integrate the first equation to get:
v = at + const.
Plugging in t = 0 gives you the...
This is a true statement: if 48/2(9+3) = 2, then 24=0.1666 ...
The statement A implies B is true unless A is true and B is false. In this case, A is not true. You cannot conclude from this (true) statement that the conclusion, 24=0.1666 is true.
Are you certain that air pollution was "wrong"? The only alternative I can see would have been to avoid the industrial revolution.
That's true, but we could still do a lot more. We could shut down all non-essential industries to reduce our power needs, outlaw non-essential driving . . ...
Not sure about the first one. The electric field line would point straight up at that point. A negative charge would be accelerated straight down. Then it would of course move to the right as well, but the problem asked for the initial motion.