MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
For a differentiable position function s(t), what does the slope of the graph of s versus t represent?
(a) The particle’s instantaneous speed
(b) The particle’s average velocity over the interval [t,t+Δt] for a small Δt
(c) The particle’s instantaneous velocity
(d) The particle’s average velocity from time 0 to t