B What is the space time interval between these two events S

Solution

a)

speed = slope of the graph:

       v = 300/500 = 0.6 c

so,

    gamma = 1/sqrt(1 - (v/c)^2)

                = 1/sqrt(1 - (0.6)^2)

               = 1.25

for the rocket: the time t is calculated as follows

            t = 200 + (500/1.25) = 600 s

b)

s^2 = x^2 - c^2 t^2 = (300)^2 - (700)^2 , then -400000