Mathematics

Problem

The velocity of a particle is

v(t)=\langle t^{2}-4t+5,\,2t\rangle

for

0\le t\le4

. Let

s(t)=|v(t)|

denote the speed. Which statement correctly identifies and classifies the critical point of

s(t)

(0,4)

? a)

t=2

is a local maximum of

s(t)

. b)

t=1

is a local minimum of

s(t)

. c)

t=1

is a local maximum of

s(t)

. d)

t=2

is a local minimum of

s(t)