Question
A spaceship moves away from Earth at a speed 0.874c and fires a shuttle craft that then moves in a forward direction at 0.21c relative to the ship. The pilot of the shuttle launches a probe forward at a speed of 0.412c relative to the shuttle.
- Determine the speed of the shuttle relative to Earth. Answer in units of c.
- Determine the speed of the probe relative to Earth. Answer in unit sof c.
Provide complete and step by step solution for the question, use formulas.