Question

when he returns his hertz rent-a-rocket after one week's cruising in the galaxy, spock is shocked to be billed for three weeks' rental. assuming that he traveled straight out and then straight back, always at the same speed, how fast was he traveling?

Answer 1

Mr. spoke is travelling with speed v = 9.4c.

Mr. spoke is apparently unknowing of  theory of special relativity by Einstein. The theory states that moving clock tick slower than stationery clock.

Time elapse =∆t = 3 weeks

(In earth stationery frame)

Time ellipse= ∆t' = 1 week

(In the frame of rocket)

∆t' = ∆t'/γ

1/y² = 1 - v²/c²

∆t'²/∆t² =

=1²/3²

=1/9

c= 3×10⁸m/s

on solving above equation we get :

v = 9.4c

He was spreading around at close to the speed of light.

Experience significant time dilatation.

He is travelling with speed  v = 9.4c.

To know more about special theory of relativity :

brainly.com/question/28289663

# SPJ4