# Formula Sheet ```1
One-dimensional Motion and Forces
Equations and Units
Equations
Unit
Speed (s) or Velocity(v)
s = distance &divide; time
m/s
Acceleration (a)
a = (vf - vi ) &divide; t
m/s2
vf = vi + at
m/s
final velocity (vf)
xf = xi + vit + &frac12; at2
m
F=mxa
Newton (N)
mass (m)
m=F
&divide;
a
kg
acceleration (a)
a=F
&divide;
m
m/s2
final position (xf)
Force (F)
2
Potential Energy and
Kinetic Energy Equations and Unit
Equations
Unit
PEg = 𝑚𝑔ℎ
Joule (J)
mass (m)
m = 𝑃𝐸𝑔 &divide; (𝑔ℎ)
kilogram (kg)
height (h)
h = 𝑃𝐸𝑔 &divide; (𝑚𝑔)
meter (m)
PEe = &frac12; k x2
Joule (J)
spring constant (k)
k = 2PEe&divide; x2
Newton/meter
(N/m)
displacement (x)
x = √ 2𝑃𝐸𝑒 &divide; 𝑘
meter (m)
KE = &frac12; m v2
Joule (J)
Gravitational Potential Energy (PEg)
Elastic Potential Energy (PEe)
Kinetic Energy (KE)
3
mass (m)
m = 2𝐾𝐸 &divide; v2
kilogram (kg)
velocity (v)
v = √ 2𝐾𝐸 &divide; 𝑚
m/s
gravity (g)
9.8 m/s2
m/s2
Work and Power Equations and Units
Equations
Unit
Work
W=Fxd
Joule (J)
Force
F=W&divide;d
Newton (N)
Distance
d=W&divide;F
Meter (m)
Power
P=W&divide;t
Watt (W)
4
Work
W=Pxt
Joule (J)
Time
t=W&divide;P
Seconds (s)
```