Solving for Work: Tips and Hints | Work Equation Explained

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Jovi
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Hi, I am new to this forum and to any forums in general. I am not too sure as to how to solve this problem given the shown statements. I know the equation for work is W=F*d but I am not given any distance. The only thing I can think of is to integrate the Force equation with respect to time and plug in my t=5,0 but that won't give me the work. I don't think I can relate this to energy. Can someone give me a hint as to how to solve this problem?
 
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U can find the force by the equation in terms of 5 sec interval. At the same time, u know that F = ma. Therefore, u can find distance d by dividing F by mass and integrate a twice.
 
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