Particle P moves along the positive x–axis at a constant speed of 5 m/s
MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
Particle P moves along the positive x–axis at a constant speed of 5 m/s, while particle Q moves along the y–axis toward the origin at a constant speed of 2 m/s. At the instant when P is 12 m from the origin and Q is 5 m from the origin, which statement about the instantaneous rate of change of the distance between the two particles is correct?
(a) The distance between the particles is decreasing at approximately 3.85 m/s.
(b) The distance between the particles is increasing at approximately 0.38 m/s.
(c) The distance between the particles is increasing at approximately 3.85 m/s.
(d) The distance between the particles is not changing at that instant.