Runner starts at with position meters

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

Problem

Runner

P

starts at

t=0

with position

x_P(t)=4t

meters. Runner

Q

starts from the same point

2

seconds later and thereafter moves with position

x_Q(t)=6(t-2)

meters for

t\ge 2

. For

t\ge 2

, at what time do the runners meet? (a)

5\,\text{s}

(b)

4\,\text{s}

(c)

6\,\text{s}

(d)

8\,\text{s}