A particle moves along a straight line with position meters for seconds
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A particle moves along a straight line with position s(t)=t3−6t2+9t meters for 0≤t≤4 seconds.
(a) Identify the time interval(s) on which the particle moves to the right and the interval(s) on which it moves to the left.
(b) List the time(s) in 0≤t≤4 when the particle is momentarily at rest.
Express all answers in seconds and support them with sign information from the velocity.