I'm in desperate need of some help. I am so lost on this: 1. imagine a rocket ship R moving eastward with speed v with respect to the earth and a rocket ship S moving westward with speed −v with respect to the earth, we wish to know the speed of R with respect to S. a. Go to a reference frame moving with S. How fast and in what direction is the earth moving in that reference frame? b. How fast and in what direction is R moving with respect to the earth? c. Using the equation for composition of velocities calculate how fast R is moving with respect to S. Let x = v/c and y = w/c. Calculate y (x) for 5 values of x between 0 and 1 and make a rough graph of the function in that interval. d. How does w depend on v for v << c ? What law does this illustrate? e. How does w depend on v for v → c ? What law does this illustrate? 2. Relevant equations The relativistic composition law for velocities is w = (u + v) /( 1 + uv/c^2) 3. The attempt at a solution So I think I know a and b, but thats about it. a) In the reference frame with S, the earth is moving west at velocity v. b) In the reference frame of earth, R is moving east at velocity v. In R’s frame of reference, earth is moving west at velocity v (value of –v on a graph.) c) I always only get 1 for this equation. If you take R and S, and their velocities, I get 0 for the first bit of the equation so it has to be one? I'm really messing up hear and the rest of the problem requires me to get this right.