Mathematics

Problem

A particle has velocity

\mathbf v(t)=\langle t-1,\,2t-2\rangle

for

t\ge0

and is at the origin when

t=0

. What is the total distance the particle travels from

t=0

until it first comes to rest? a)

\sqrt5

\dfrac{\sqrt5}{2}

\dfrac{5}{3}

\dfrac{\sqrt5}{4}