Two dimensional motion with air drag (think golf ball trajectory) is not integrable, but purely horizontal motion and purely vertical motion are separately integrable. 1. A railroad boxcar of mass m on a level frictionless track has initial speed vo at the origin. There is an aerodynamic drag force -cvv acting horizontally. Find (a) v(t) (b) x(t) (c) What is the furthest distance the boxcar travels? (d) v(x)
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