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**1. Homework Statement**

A particle has a constant acceleration in a laboratory from 0 to 0.5c in 2 seconds. What time elapses for the particle (i.e. what is the

*proper time*for the particle)?

*Hint*You will have to integrate the proper time of the particle over the two seconds as measured in the laboratory frame. You may need to look up an integral such as [tex]\int\sqrt{a^2 - x^2} dx[/tex]

**2. Homework Equations**

You tell me

**3. The Attempt at a Solution**

I'm pretty sure this isn't a difficult problem, I think I may be going about it the wrong way.

I figure I need to integrate dt' over the interval of acceleration, but I'm confused about how I go about this. Any help would be greatly appreciated.