MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
At t=4 s, Car P has position function p(t) with p′(4)=5 m/s, and Car Q has position function q(t) with q′(4)=−3 m/s. Which statement is most consistent with this information?
(a) Car Q is moving faster because −3<5.
(b) Car P is moving forward faster than Car Q is moving backward.
(c) Both cars have the same speed because they are traveling in opposite directions.
(d) Car P has greater acceleration than Car Q because 5>−3.