The position of a particle moving along the -axis is meters for

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The position of a particle moving along the

x

-axis is

s(t)=t^{3}-6t^{2}+9t

meters for

t\ge 0

. Determine every time interval on which the particle’s speed is decreasing.