Two particles begin moving at time s

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Two particles begin moving at time

t=0

s. Particle A moves along the

x

-axis with position

x(t)=t^{2}

m, and Particle B moves along the

y

-axis with position

y(t)=8-t^{2}

m. What is the rate of change of the distance between the particles, in m/s, at

t=2

s? (a)

4\sqrt{2}

(b)

0

(c)

8

(d)

2