A particle moves along a straight line so that its position (in meters) at time…

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

Problem

A particle moves along a straight line so that its position (in meters) at time

t

seconds is

s(t)=t^{3}-6t^{2}+9t+4

for

0\le t\le 5

. Determine the time

t

at which the particle attains its greatest position on the interval.