A particle moves along a line with position given by (meters) for

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

Problem

A particle moves along a line with position given by

s(t)=2t^{3}-12t^{2}+18t+7

(meters) for

0\le t\le5

, where

t

is in seconds. Determine the time

t

at which the particle is farthest to the right of the origin on this interval. (a)

t=1

(b)

t=2

(c)

t=5

(d)

t=3