Chapter 11.2, Problem 11.46P

Car A is parked along the northbound lane of a highway, and car B is traveling in the southbound lane at a constant speed of 60 mi/h. At $t=0$ , A starts and accelerates at a constant rate $a_A$ , while at $t=5$ s, B begins to slow down with a constant deceleration of magnitude $a_A/6$ . Knowing that when the cars pass each other $x=294$ ft and $v_A=v_B$ , determine (a) the acceleration $a_A$ , (b) when the vehicles pass each other, (c) the distance d between the vehicles at $t=0$ .