Classical Dynamics of Particles and Systems · Problem 2-34

Oscillations — Marion & Thornton

Physics — Mechanics · falling-particle-air-resistance-velocity-distance

Problem

A particle is released from rest (

y = 0

) and falls under the influence of gravity and air resistance. Find the relationship between

v

and the distance of falling

y

when the air resistance is equal to (a)

\alpha v

and (b)

\beta v^2