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    Inertial observer O´ moves at speed v.

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    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.

    See attached file for full problem description.

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    A 1 :- Let the two observers O and O′ are observing the same event at any point P whose co-ordinates are
    (x,y,z,t) and (x′,y′,z′,t′) in two inertial frames of reference S and S′ respectively.
    Since the inertial observer O′ moves at speed v in the negative z-direction with respect to
    inertial observer O, the relationship between the two sets of co-ordinates used are
    x′ = x, y′ = y , z′ = β(z + vt) , t′ = β(t + vx/c2) where β = 1/[1 - ...

    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.

    $2.49

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