For seconds, particle R has position meters and particle S has position meters along…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For

0\le t\le 5

seconds, particle R has position

x_R(t)=t^2-6t+3

meters and particle S has position

x_S(t)=-t^2+2t+15

meters along the same line. Determine the time in this interval when the distance between the two particles is minimized.