A particle moves in the plane with velocity meters per second for

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

A particle moves in the plane with velocity

\mathbf v(t)=\langle 2t,3\rangle

meters per second for

0\le t\le2

. What is the total distance the particle travels during this time? (a)

2\sqrt{13}

(b)

5+\dfrac{9}{2}\ln 3

(c)

5+\dfrac{9}{4}\ln 3

(d)

\dfrac{49}{6}