Consider a particle of mass m, projected from an initial position r(0) with initial velocity v(0). Here, velocity has both vertical and horizontal components. Considering Galilean gravity mg and quadratic drag resistance km|v|^2, explain why the problem reduces to a one-dimensional problem with equation of motion when we assume the initial velocity is directly upwards. Here, don't forget to distinguish between upwards motion and downwards motion.

Consider a particle of mass m, projected from an initial position r(0) with initial velocity v(0). Here, velocity has both vertical and horizontal components. Considering Galilean gravity mg and quadratic drag resistance km|v|^2, explain why the problem reduces to a one-dimensional problem with equation of motion when we assume the initial velocity is directly upwards. Here, don't forget to distinguish between upwards motion and downwards motion.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.35P

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