Rectilinear Motion of Particle

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adashiu
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Homework Statement



3. The acceleration of a particle is directly proportional to the time t. At t=0, the velocity of a particle = -12 m/s. Knowing that v=0 and x = 15 when t=4s, write the equation of the motion.

Here is my solution, could Somebody check it?
View attachment zadanie3.pdf

Text is in Polish, sorry for that :smile:
 
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Dzien dobry :)) Attachment approval? So you cannot look into it?
 
You have explained the problem well enough, and I believe I can solve it, but it is against forum rules for me to provide any help until I see your attempt at a solution. Is there a reason why you need to put it into pdf format? I understand that using the tex feature on this forum is a bit frustrating, but you can just try to write out your solution in plane text here, and I will try to follow it.
 
When you integrated v to find x as a function of t, you did something wrong. I advise you to put limits on your integration, and put explicitly what is the differential quantity over which you're integrating.
 
do you have any other simplier sulotion for rectilinear motion??
 
adashiu's approach is the simplest approach that I'm aware of. In fact, off the top of my head, I can't think of another way to do it.