# Inertial observer O´ moves at speed v.

A.1 Inertial observer O´ moves at speed v in the negative z-direction with respect to inertial observer O.

Write down the relationship between the sets of coordinates used by the two different observers.

A.2 A rocket moves at speed 4c/5 towards the earth. It fires a missile at a speed of 3c/5 opposite to

its direction of motion as measured on the rocket. With what speed does the missile strike the earth?

A.3 If A = (λ, 1,2,2) is a future-pointing timelike 4-vector, what is the maximum information you know about λ.

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#### Solution Summary

This solution is comprised of a detailed explanations of the problems of the special theory of relativity.

It contains step-by-step explanation for the following problems:

A.1 Inertial observer O´ moves at speed v in the negative z-direction with respect to inertial observer O.

Write down the relationship between the sets of coordinates used by the two different observers.

A.2 A rocket moves at speed 4c/5 towards the earth. It fires a missile at a speed of 3c/5 opposite to

its direction of motion as measured on the rocket. With what speed does the missile strike the earth?

A.3 If A = (λ, 1,2,2) is a future-pointing timelike 4-vector, what is the maximum information you know about λ.

Solution contains detailed step-by-step explanation.