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)

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)