Two particles move in the plane for (seconds) with velocities v_A(t)= t, ,3-2t

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Two particles move in the plane for

0\le t\le 2

(seconds) with velocities

v_A(t)=\langle t,\,3-2t\rangle,\qquad v_B(t)=\langle 2-t,\,t\rangle.

Identify which particle attains the larger maximum speed on this interval and state that maximum speed.