[taki]

[off-topic]dimensional analysis>algebraic method

Actually, I dunno.. I'm comfortable with computing in algebraic expressions, but with dimensional analysis, things seem to fit together more and it gets convenient when keeping track of different variables, labels, and formulas[/off-topic]

Oh well, here's a bunch of formulas, some may be redone but for the sake of convenience I haven't bothered to edit them out:

Acceleration- s=vi t+½at²
The distance s an object travels can be computed when the initial speed vi , time elapsed t , and the rate of constant acceleration a is known.

Angular velocity- w=Ø/t'
Where Ø is expressed in radians and t represents time.

Geometry:
Parallelogram- A=bh
Rectangle= P=2(l+h) A=l*h
Right triangle A=ab/2 Pythagorean Theorem- c²=a²+b²
Isosceles Triangle- A=bh/2
Circle- P=2pi*r A=pi*r²
Trapezoid- A=h/2(b1 +b2 )

Artificial Gravity- N=1/2pi*sqrt a/r
Where N, the number of rotations required per second to maintain an acceleration of gravity of m/s².

Carrier Wave- y=A sin(10^7*2pi*t)
t is the time in seconds.

Change of Base- loga n=logb n/logb a
For all positive numbers a,b, and n where a and b do not equal 1.

Compound Interest- A=P(1+r)^t
A is the balance, P is the amount invested, r is the interest, and t is the time in years that the money was invested.

Distance Travel- d(t)=vi t+½at²
The distance d that an object travels can be calculated when the initial speed vi, elapsed time t, and the rate of constant acceleration a are known.

Falling object's duration in air- t=sqrt 2d/g
the time t equals d, the height at which the object is dropped and g is the acceleration due to gravity.


Growth and Decay- y=ne^kt
y is the final amount, n is the initial amount, k is a constant, and t is the time.

Height of Projectile- h=(vo ²sin²Ø/2g
Ø is the measure of the angle between the ground andthe initial path of the ball, v0 is its initial velocity in m/s, and g is the acceleration due to gravity.

nth term of an Arithmetic Sequence- an=a1+(n-1)d
The nth term of an arithmetic sequence with the first term a1 and common difference d.

nth term of a Geometric Sequence- an=a1*r^(n-1)
The nth term of a geometric sequence with the first term a1 and common ratio r.


Quadriatic Function- y=ax²+bx+c
Formula- -b±sqrt (b²-4ac)/2a

Snell's law- n=sin I/sin r
Where n is the index of refraction, the angle of incidence I and the angle of refraction r.

gah.. too tired.. must.. get.. sleep zZzZ