The Differential Equation Describing the Motion of a 60-Kg Woman $a=\frac{d v}{d t}=g-\frac{k}{m} v$

Short Answer

The differential equation describing the motion of a 60-kg woman who has jumped into a swimming pool is given by $a=\frac{d v}{d t}=g-\frac{k}{m} v$ .In this equation, $a=\frac{d v}{d t}$ on the left hand side is the woman's downward acceleration, v is the woman's downward velocity, g = 9.8 m/sec² is the acceleration due to gravity, and k = 1945 kg/sec is the woman's ballistic coefficient in water.This equation assumes that the woman does not attempt to swim to the surface and just allows herself to continue sinking.The woman's terminal velocity in the water is _____ m/sec.Round to 2 decimal places.