An object of mass m is moving along the z-axis according to z(t)=αt^2+βt+γ, where the coefficients are constant. Show that the force acting on this object is constant.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.9P
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An object of mass m is moving along the z-axis according to z(t)=αt^2+βt+γ, where the coefficients are constant. Show that the force acting on this object is constant.

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