A car and a truck are both traveling 30 m/s down a highway. The

File: IMG_1149.jpg (14KB, 194x259px)

14KB, 194x259px

A car and a truck are both traveling 30 m/s down a highway. The car is 10 meters behind the truck and the truck is 20 meters long. The car is 5 meters long. The driver of the car sees that a bus is approaching him on the other side of the road traveling at a rate of 25 meters per second. The driver decides to past the truck by accelerating constantly at a 3 m/s^2 until he passes the truck and pulls into his travel lane 20 on meters in front of the truck. Determine the minimum distance that the car needs between the front of the car and the front of the approaching bus when the car begins to pass the truck