Relative time between 2 events:

Δt=

=γΔt_p

(t_p=proper time)

Length of contracted object:

L=

=L_p/γ

(L_p= proper length)

Relativistic Momentum:

p=

=γmv

(v = velocity of object)

Relativistic kinetic energy:

T=

=(γ-1)mc²

Total Relativistic Energy:

E_T=

=γmc²=pc-mc²

=pc (massless particles)

Relativistic Transforms:

x'=

y'=

z'=

t'=

(motion in x-direction only)

=γ(x-Vt)

=y

=z

=γ(1-xV/c²⁾

Relativistic Velocity transforms:

v_x'=

v_y'=

v_z'=

(Motion in x direction)

=v_x-V/(1-Vv_x/c²)

=v_y/(γ(1-v_xV/c²)

=v_z/(γ(1-v_xV/c²)

     β → γ

.1

  .25

 .5

   .75

 .9

γ=

1.005

1.033

1.155

1.51

2.29