Please help my homework!!! Please help my homework! how to solve this problem. 1

Question

Please help my homework!!! Please help my homework! how to solve this problem. 1.23(ch1) Answer is : 0.94c When he returns his Hertz rent-a-rocket after one week'scruisng in the galaxy, Mr.Spock is shocked to be billed for threeweeks' rental. Assuming that he traveled straight out and thenstraight back, always at the same speed, how fast was hetraveling? Please help my homework!!! Please help my homework! how to solve this problem. 1.23(ch1) Answer is : 0.94c When he returns his Hertz rent-a-rocket after one week'scruisng in the galaxy, Mr.Spock is shocked to be billed for threeweeks' rental. Assuming that he traveled straight out and thenstraight back, always at the same speed, how fast was hetraveling? Please help my homework! how to solve this problem. 1.23(ch1) Answer is : 0.94c When he returns his Hertz rent-a-rocket after one week'scruisng in the galaxy, Mr.Spock is shocked to be billed for threeweeks' rental. Assuming that he traveled straight out and thenstraight back, always at the same speed, how fast was hetraveling?

Explanation / Answer

Actual time t = 1 weeks relative time t ' = 3 week we know   t ' = t / [ 1-( v / c ) ^ 2 ]                 3 = 1 / [ 1-( v / c ) ^ 2 ]   1-( v / c ) ^ 2 = 1 / 9        ( v / c ) ^ 2 = 8 /9              v/ c = 0.9428                  v= 0.9428 c

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