Alaw enforcement officer in an intergalactic "police car" turns on a red flashing light and sees it generate a flash every 1.2 s. a person on earth measures that the time between flashes is 2.2 s. how fast is the "police car" moving relative to the earth?

The velocity of the police car relative to earth is

Given:

time for flash generation of the inter galactic police car, t = 1.2 s

time between flashes as measured from earth, t' = 2.2 s

Solution:

Utilising Einstein's equation for time dilation to calculate the velocity of the police car, the equation is given by:

                               (1)

where, c = speed of light in vacuum =

re arranging eqn (1) for velocity, v:

                              (2)

Now, from eqn (2)

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explanation: