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Dave218
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An astronaut must journey to a distant planet, which is 186 light-years from Earth. What speed will be necessary if the astronaut wishes to age only 13 years during the round trip? (Give your answer accurate to four decimal places.)
_________c
13y = to 186ly = t
to/t = (√(1-(v^2 / c^2)))^2
(13/186)^2 = 1-(v^2 - c^2)
c^2 x (-(13/186)^2 + 1) = v^2
(3x10^8)^2 x (-(13/186)^2 + 1 ) = v^2
v= 2.99266359x10^8
v=.9975545309c
v=.9976c
this is my attempt but the answer is incorrect
_________c
13y = to 186ly = t
to/t = (√(1-(v^2 / c^2)))^2
(13/186)^2 = 1-(v^2 - c^2)
c^2 x (-(13/186)^2 + 1) = v^2
(3x10^8)^2 x (-(13/186)^2 + 1 ) = v^2
v= 2.99266359x10^8
v=.9975545309c
v=.9976c
this is my attempt but the answer is incorrect