The engineer of a passenger train traveling at 25 meter per second sights a freight train whose caboose is 200 meter ahead on the same track. The freight train is traveling at 15 meter per second in the similar direction as the passenger train. The engineer of the passenger train immediately applies the brakes, causing a constant deceleration of 0.200 m/s2, while the freight train continues with constant speed.
(a) Find where will the two trains collide?
(b) Obtain the speed of the passenger train just before the collision?