- #1

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## Homework Statement

You approach an enemy ship at a speed of 0.5c measured by you, and the ship fires a missile toward your ship at a speed of 0.7c relative to the enemy ship. What speed of the missile do you measure, and how much time do you have measured by you and the enemy ship before the missile hits you if you are 10^ km away?

## Homework Equations

##\gamma = \frac{1}{\sqrt{1-\beta^2}}##

##\Delta X = \gamma \Delta X'##

##V_x' = \frac{V_x+u}{1+\frac{uv_x}{c^2}}## where ##u## is the speed of the frame of reference, and x denoted movement along one dimension/axis.

## The Attempt at a Solution

I have been working at this problem for way too long now (many hours). I assumed the enemy ship was at "rest" and the missile and your ship were moving. Just telling me whether im on the right track or not would be very helpful and appreciated. My work is shown with clear english explanations and the question is written on a high quality photo. This is the best way to explain, but if you cannot read my writing, just let me know and I will be happy to type it all out for you. Im not sure if i am right or wrong in this, but i think my answers seem reasonable