Classical Dynamics of Particles and Systems · Problem 2-39

Oscillations — Marion & Thornton

Physics — Mechanics · boat-exponential-resistance

Problem

A boat with initial speed

v_0

is launched on a lake. The boat is slowed by the water by a force

F = -\alpha e^{\beta v}

. (a) Find an expression for the speed

v(t)

. (b) Find the time and (c) distance for the boat to stop.