Time needed for a Force F to accelerate the crate to 2m/s? (Dynamics)

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bardia sepehrnia
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Homework Statement
The mass of the crate, coefficient of static and kinetic friction is given. The force equation is also given.
Relevant Equations
F=300t
242317

So above is the question. The picture below is my attempt at the solution:
242318


However the answer at the back of the book suggest that T=1.929s
 
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I agree with the book. What did you do at the very last step? What does v=1.292 mean and how did you get it? You are supposed to find the time when the velocity is 2 m/s up the incline.
 
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kuruman said:
I agree with the book. What did you do at the very last step? What does v=1.292 mean and how did you get it? You are supposed to find the time when the velocity is 2 m/s up the incline.
Wow, I've been doing dynamics for too long today and been extremely tired and frustrated. For some reason I equated the entire equation to 0 where as you pointed out, I obviously had to equate it to 2. Thank you very much!