2.62 Collision. The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track (Fig. P2.62). The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the passenger train immediately applies the brakes, causing a constant acceleration of 0.100 m/s² in a direction opposite to the train's velocity, while the freight train continues with constant speed. Take x = 0 at the location of the front of the passenger train when the engineer applies the brakes. (a) Will the cows nearby witness a collision? (b) If so, where will it take place? (c) On a single graph, sketch the positions of the front of the pas- senger train and the back of the freight train.

Can I get help with how to calculate total displacement? The answer is 78.3x-4.8y

2.70 Egg Drop. You are on the Figure P2.70 roof of the physics building, 46.0 m above the ground (Fig. P2.70). Your physics professor, who is 1.80 m tall, is walking alongside the building at a constant speed of 1.20 m/s. If you wish to drop an egg on your profes- sor's head, where should the profes- sor be when you release the egg? Assume that the egg is in free fall. 2.71 CALC The acceleration of a particle is given by ax(t) = -2.00 m/s² +(3.00 m/s³)t. (a) Find the initial velocity Vox such that v = 1.20 m/s 1.80 m 46.0 m