A particle has velocity for and is at the origin when

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

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

(b)

\dfrac{\sqrt5}{2}

(c)

\dfrac{5}{3}

(d)

\dfrac{\sqrt5}{4}