Suppose that a projectile of mass m moves in a vertical plane in the atmosphere near the surface of the earth under the influence of two forces: a downward gravitational force F_G of magnitude mg, and a resistive force F_R that is directed opposite to the velocity vector v and has magnitude kv² (where v = |v| is the speed of the projectile; see Fig. 7.1.12). Show that the equations of motion of the projectile are

Transcribed Image Text:

mx"=-kux', my"=-kvy - mg, where v = √(x)² + (y)².