In the olympiad of 708 b. c. some athletes competing in the standing long jump used handheld weights called halteres to lengthen their jumps. the weights were swung up in front just before liftoff and then swung down and thrown backward during the flight. suppose a modern 80 kg long jumper similarly uses two 5.80 kg halteres, throwing them horizontally to the rear at his maximum height such that their horizontal velocity is zero relative to the ground. let his liftoff velocity be vector v = (9.5i hat + 4.0j) m/s with or without the halteres, and assume that he lands at the liftoff level. what distance would the use of the halteres add to his range?

Imagine you are riding on a yacht in the ocean and traveling at 20 mph. you then hit a golf ball at 100 mph from the deck of the yacht. you see the ball move away from you at 100mph, while a person standing on a near by beach would observe your golf ball traveling at 120 mph (20 mph + 100 mph). now imagine you are aboard the hermes spacecraft traveling at 0.1c (1/10 the speed of light) past mars and shine a laser from the front of the ship. you would see the light traveling at c (the speed of light) away from your ship. according to einstein’s special relativity, how fast will a person on mars observe the light to be traveling? a) 0.1c (1/10 the speed of light) b) c (the speed of light) c)1.1c (c+0.1c)