The velocity of a particle is given by for

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

Problem

The velocity of a particle is given by

v(t)=\langle 2t,\,4-t^{2}\rangle

for

0\le t\le 3

. At which of the following times does the particle move fastest on this interval? (a)

t=\sqrt2

(b)

t=1

(c)

t=3

(d)

t=0