MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The velocity of a particle is v(t)=6t(1+3t2)−1/2 for t>0. What can be said about its acceleration?
(a) Always negative for all t>0
(b) Zero for all t>0
(c) Always positive for all t>0
(d) Positive for small t but becomes negative as t increases