(2-9) Let’s now  investigate how this time dilation effect depends on the relative velocity of the frames of reference. 

First look at the equation – and, in particular at the factor √(1 – u2/c2) -  and deduce:

①  what happens when u << c ?

②  what happens as u approaches c ?

③  Calculate the size of the time dilation effect (t1/t0)  if you and Nefertiti are standing on the beach and Cormorant is flying overhead at a velocity of 2 ms-1. The speed of light is 3 x 108  ms-1.

④  Suppose that Cormorant has been working out and managed to increase his flight speed to

 2 x 108 ms-1  (that is, two thirds of light speed). What happens now?