Solving Multiple Tracking Homework Equations for Answer

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Homework Statement



SLfdv.jpg


Homework Equations



LiNsu.jpg


The Attempt at a Solution



AeBeT.jpg


But the correct answer is 1227 ft/s^2.

Thanks.
 
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Check your units for r2.
 
Thank you. I was able to find part a) and r1. However, I was unable to find r^.. in part b). This is what I have so far:

bMGeW.jpg


I don't know how to integrate the acceleration vector to velocity vector it seems.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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