Resistive Forces Practice Test

An object with mass $$m$$ is projected horizontally with initial velocity $$v_0$$ on a surface where the only horizontal force is a resistive force given by $$F = -kv$$. The velocity of the object as a function of time is $$v(t) = v_0 e^{-kt/m}$$. What is the total distance the object travels as it slows to a stop?

A boat of mass $$m$$ starts from rest at $$t=0$$. A constant force $$F_{app}$$ is applied, and it experiences a resistive force $$F_r = -kv$$. The boat's speed $$v$$ as a function of time $$t$$ is given by which expression?