A particle moves along a line so that its velocity at time seconds is (in meters per…

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

Problem

A particle moves along a line so that its velocity at time

t

seconds is

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

(in meters per second). Find the time(s) in

0\le t\le10

at which the particle’s position function has an inflection point, and justify your answer.