The positions (in meters) of two particles moving along a straight path are given for…

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

Problem

The positions (in meters) of two particles moving along a straight path are given for

t\ge 0

s_A(t)=4t+1,\qquad s_B(t)=3t+10.

At what time do the two particles occupy the same position? (a)

t=11\text{ s}

(b) They never occupy the same position. (c)

t\approx1.3\text{ s}

(d)

t=9\text{ s}