A particle of mass 9kg with zero initial velocity is subjected to a time dependent 1D Force equal to 6t N. What is the position of the particle when the force has been applied for t = 2s?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...
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A particle of mass 9kg with zero initial velocity is subjected to a time dependent 1D Force equal to 6t N. What is the position of the particle when the force has been applied for t = 2s?

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I don't believe this is correct, because the Force is not 12 N throughout, and we must factor in the non-constant force being applied.

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