Equations and Math Help


VariablesDefinitionWhen to Use

=a change in
v=velocity
x=horizontal distance
t=time
f=final
i=initial
Velocity = a change in distance over a change in timeTo find the distance, time or velocity of an object that is moving at a constant rate

a=acceleration
v=velocity
t=time
f=final
i=initial
Acceleration = a change in velocity over a change in timeTo find the velocity, time or acceleration of an object that is changing velocity

y=vertical distance (height)
a=acceleration
t=time
Vertical distance traveled by an accelerating objectTo find the distance traveled by or the acceleration or time-in-motion of an accelerating object.

x=horizontal distance  
a=acceleration
t=time
Horizontal distance traveled by an accelerating objectTo find the distance traveled by or the acceleration or time-in-motion of an accelerating object.

F=Force
m=mass
a= acceleration
Force = mass times acceleration. Newton’s 2nd Law.To find the Force causing a mass to accelerate or the acceleration of a mass influenced by a Force.

P=pressure
F= Force
a=surface area
Pressure = Force over Surface AreaTo find the pressure applied over an area.

P=momentum
m=mass
v=velocity
Momentum equationTo find momentum if mass and velocity are known.

I=impulse
F=Force
t=time
Impulse equationTo find the Force and period of time during a change in momentum (as in a car crash).

F=Force
t=time
m=mass
v=velocity
Impulse = A  Change in MomentumSame as above.

m=mass
v=velocity
f=final
i=initial
Conservation of MomentumThe momentum before a collision and after a collision will always be the same.
T= the period (one complete forward and back cycle)
l=length
g=gravity (10m/s2)
Period of a PendulumFind the time it takes for a pendulum to make a complete back and forth motion if the length is known
PE=potential energy (stored energy)
m=mass
h=height
Potential Energy EquationFind the amount of stored energy by lifting a mass to a certain height

KE= kinetic energy (energy in motion)
m=mass
v=mass
Kinetic Energy equationTo find the amount of KE or the velocity of a mass
Conservation of MomentumHelps to find the KE (which gives you velocity) when the total energy and stored energy are known
ac=circular acceleration
v=velocity
r=radius
Circular acceleration equation.Find the change in velocity around a circle of known radius if the linear velocity is known.
G= Gravitational Constant
M=larger mass
m = smaller mass
r = radius of orbit
Universal Law of GravitationFind the force of gravity between two masses.
k=botlzman constant
q=charge
d=distance between charges
Coulomb’s LawFind the force of attraction or repulsion between 2 charges.
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