All Problems

The Fundamental Equation of Dynamics

Problem 1.104

A body of mass \(m\) is thrown straight up with velocity \(v_{0}\). Find the velocity \(v^{\prime}\) with which the body comes down if the air drag equals \(k v^{2},\) where \(k\) is a constant and \(v\) is the velocity of the body.

Reveal Answer
 1.104. v=v0/1+kv02/mg\text { 1.104. } v^{\prime}=v_{0} / \sqrt{1+k v_{0}^{2} / m g}