Part 1) How fast do wesee him going (as a multiple of c)? Answer in units ofc. P

Question

Part 1) How fast do wesee him going (as a multiple of c)? Answer in units ofc.

Part2) If he just signs theguest book and comes right back, in how many years will he returnas seen

Explanation / Answer

This is dealing with time dilation, since the time intervals ineach respective reference frame are not the same. We can geta 'time dilation factor', , from this info: = earth time / ship time    = 183 / 25 = 7.32    --> Anearth observer would see the time on the ship dilated by thismuch From relativity theory:   = (1 - v2 /c2 ) -1/2 1/ = 0.1366 = (1 - v2 /c2 )1/2            (0.1366)2 - 1 = - v2 /c2            1 -(0.1366)2 = v2 / c2                0.9813 c2 = v2          0.991c = v               From earth frame of reference, it takes t = D / v to get tostar t = 183 L.Y. / 0.991c    = 183 * 9.46 x 1015 m/LY / 0.991 x3x108 m/s    = 185 yrs Then, treturn = 369 yrs Technically, could have just done T = 2*(183 yr / 0.991c)

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