The velocity of a particle moving along a line is given by for

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The velocity of a particle moving along a line is given by

v(t)=t^{2}-4t+3

for

0\text{\,}\le\,t\le5

. Determine all time(s) in the interval when the particle changes direction. (a)

t=2

(b)

t=1\,\text{only}

(c)

t=1\,\text{and}\,t=3

(d) The particle does not change direction on

[0,5]