1. A passenger walks forward along the aisle of a train at a speed of 1.3 m/sec as the train moves along a straight track at a constant speed of 30.2 m/sec with respect to the ground. What is the passenger speed relative to the ground? To the accuracy cited, do classical and relativistic predictions differ?
2. One cosmic-ray particle approaches the earth along its axis with a velocity 0.80c toward the North Pole, and another with a velocity 0.60c toward the South Pole. What is the relative speed of approach of one particle with respect to the other? (Hint: It is useful to consider the earth and one of the particles as the two inertial systems.)