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A spaceship traveling directly away from Earth at 0.950 c (where c is the speed of light) fires a missile directly ahead. The missile moves away from the ship at 8.53E+7 m/s relative to the ship. What is the velocity of the missile relative to Earth? Define your coordinates so that positive velocities are directed away from Earth. m/s

A spaceship traveling directly away from Earth at 0.950 c (where c is the speed of light) fires a missile directly ahead. The missile moves away from the ship at 8.53E+7 m/s relative to the ship. What is the velocity of the missile relative to Earth? Define your coordinates so that positive velocities are directed away from Earth. m/s

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A spaceship traveling directly away from Earth at 0.950 c (where c is the speed of light) fires a missile directly ahead. The missile moves away from the ship at 8.53E+7 m/s relative to the ship. What is the velocity of the missile relative to Earth? Define your coordinates so that positive velocities are directed away from Earth. m/s

Explanation & Steps

According to the Einstein velocity addition relationship, the relative velocity of two objects will always be less than the speed of light. The relativistic velocity addition formula can be used to determine velocity of an object measured from an inertial frame of reference or observer at rest in terms of velocity of moving frame of reference and velocity of object measured from moving frame of reference. The relativistic velocity addition formula is:

                                                                                            u=\frac{u'+v}{1+\frac{u'v}{c^2}}

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