Time dilation with spaceship at 0.75c and 0.92c

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cyberdx16
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Time Dilation help please

Homework Statement


A spaceship is moving at 0.75 c (0.75 times the speed of light) with respect to the earth. An observer on the spaceship measures the time interval between two events on Earth as 38 hrs. If the spaceship had been moving with a speed of 0.92 c with respect to the earth, what would the time interval between the events have been?

Δt0.92 c = _____hrs

Homework Equations




Δt=Δtp/sqrt1-v^2/c^2



The Attempt at a Solution



v=.75(3e8)=2.25e8m/s
t=1/368e5sec
v=d/t
d=3.078e13m

Δtp=3.078e13/v

v=.92(3e8)=2.76e8


Δtp=3.078e13/2.76e8
=1.115e5sec
=30.97hr

but this is not the correct ans
 
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