All Problems

The Fundamental Equation of Dynamics

Problem 1.101

Having gone through a plank of thickness \(h,\) a bullet changed its velocity from \(v_{0}\) to \(v .\) Find the time of motion of the bullet in the plank, assuming the resistance force to be proportional to the square of the velocity.

Reveal Answer
t=h(v0v)v0vln(v0/v)t=\frac{h\left(v_{0}-v\right)}{v_{0} v \ln \left(v_{0} / v\right)}