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**[SOLVED] Time Dialation Help**

**1. Homework Statement**

A bomb is placed on a space probe just before it's launched. The timer is set to trigger the bomb after exactly 24hrs. The probe travels away from Earth on a straight line at v=.9c. How long after launch will the observers on the Earth see the flash of light from the exploding bomb?

**2. Homework Equations**

[tex]\Delta\tau=\Delta t \sqrt{1-\frac{v^{2}}{c^{2}}}[/tex]

**3. The Attempt at a Solution**

[tex] \Delta\tau = 24hrs.[/tex]

[tex]\Delta t = \frac{24hrs}{\sqrt{1-.9^{2}}} = 55hrs[/tex]

But, the text book gives a time of 105hrs. Can anyone please tell me why what I did is wrong? This seems like a straightforward problem and I have no clue where I mesed up. Any help is greatly appreciated.