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

[bardia sepehrnia]

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

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

However the answer at the back of the book suggest that T=1.929s

 

[kuruman]

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.

 

[bardia sepehrnia]

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!