The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.
<h3>How can Andrea's new age be calculated?</h3>
The time dilation using the Lorentz transformation formula is presented as follows;
![t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } }](https://tex.z-dn.net/?f=t%27%20%3D%20%20%5Cfrac%7Bt%7D%7B%20%5Csqrt%7B1%20-%20%20%5Cfrac%7B%20%7Bv%7D%5E%7B2%7D%20%7D%7B%20%7Bc%7D%5E%7B2%7D%20%7D%20%7D%20%7D%20)
From the question, we have;
The spaceship's speed, <em>v</em> = 0.6•c
∆t = Rest frame, Courtney's time, change = 10 years
Therefore;
![\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8](https://tex.z-dn.net/?f=%5Cdelta%20t%27%20%3D%5Cdelta%20t%20%5Ctimes%20%20%5Csqrt%7B1%20-%20%20%5Cfrac%7B%20%7B%280.6%20%5Ccdot%20c%29%7D%5E%7B2%7D%20%7D%7B%20%7Bc%7D%5E%7B2%7D%20%7D%20%7D%20%3D%208)
The time that elapses as measured by Andrea = 8 years
Andrea's age, <em>A</em>, at the end of the trip is therefore;
A = 10 years + 8 years = 18 years
Learn more about the Lorentz transformation formula here:
brainly.com/question/15544452
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