1-In spite of the fictional exploits of the starship Enterprise, "Relativity" teaches us that the maximum possible speed is what? (hint: warp = v/c)
2-A spaceship, traveling at WARP 1/2 away from the Earth, launches a shuttle moving away from the ship at c/2 (c/2 seen from the ship). Classically one expects to see the shuttle moving at c from the Earth, but relativistically what speed do we expect seen from the Earth?
3-A proton (1.67 × 10-27 kg) is accelerated to 99.8% the speed of light. How much energy did the accelerator have to impart?