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If Spaceship 1 is traveling at speed $.5c$ relative to Earth, and Spaceship 2 is traveling at speed $.3c$ relative to Earth in the same direction, what does Spaceship 2 see Spaceship 1's speed as? I …

I know the way of deriving the formula using usual lorentz transformation formulas,,but is there a way out of deriving it using 4-vector notation??please help …

Recently, relativistic physics has sparked interest in me. … I read in one of my textbooks that the classical addition of velocities does not apply to light but the explanation given in the book is pretty incomprehensible. …

Stuck on a homework question and unsure how to approach orthogonal addition. Any help would be appreciated. … Using a conventional approach to solving relative velocity problems, and without using 4-vectors, show that the speed of each particle relative to the other is given by: $$v_R = v\left(2- \left(\frac{ …

The spaceship's speed was 0.8c and the satellite was ejected at 0.2c, both velocities given relative to an observer stationary on the Earth. … Why would it be incorrect to use relativistic addition of velocities to determine the velocity of the satellite through the spaceship's reference frame and then use that to determine the length contraction …

From the reference frame of each particle, the relativistic formula for the addition of velocities yields a relative velocity smaller c. … So what is the speed of that reduction of distance between the protons, as seen by the observer? …

Isn't it impossible to estimate the velocity of framework through relativistic velocity addition formula when the event moves at speed of the light? … (because when the event moves at speed of the light result of relativistic velocity addition formula is equal to zero devided by zero which is undefined and indeterminate) …

The relativistic velocity addition formula is $$u = \frac{v+u'}{1+ \frac{vu'}{c^2}}$$ Where $u$ = velocity of projectile seen by rest observer "A" $v$ = velocity of moving observer "B" as seen by … rest observer "A" $u'$ = velocity of projectile seen by B Now the question is this: If $v=c,$ and $u'=-c $ I get an undefined answer. i.e. the relavistic velocity addition formula is undefined. …

The relativistic formula for momentum is $$p = \frac{mv}{\sqrt{1 - \dfrac{v^2}{c^2}}} \,.$$ In the following example, I apply the formula in the most basic way possible to the addition of velocities. … Applying the formula for the addition of velocities, the velocity of the object moving in the negative $x$ direction is, $$v_{-} = \frac{-2v}{1 + \dfrac{v^2}{c^2}} \,.$$ Therefore, the total momentum …

Can you tell me to what accuracy the relativistic velocity addition formula has been confirmed? And in what experiment? This is just between matter and matter. … I've also looked through pages that list the tests of SR, and read papers on it, but no answer appears. Perhaps you can help, thank you very much. …

Imagine the following problem: Person 1 travels with velocity $v$, and person 2 has a velocity of $u$ according to the rest frame. … {v} = \langle v,0 \rangle$$ and $$\mathbf{u} = \langle u\cos\theta,u\sin\theta \rangle$$ Now by the relativistic addition of velocities we realize that, the y-component of the Person's 2 in velocity in …

As per the comments, I wasn't taking into account the relativistic addition of velocities, which is becomes relevant when designing scenarios with such high velocities. … If you have questions and feel this answer isn't enough, consider checking the others out: Relativistic addition of velocities of spaceships …

If you fire a ball at an initial velocity of 20mph south out of a car that is going 50mph north, the final velocity of the ball would be 30mph north, is this also how light acts when the initial velocity … More generally, how does relativistic addition of velocities work for tachyons? update: This question is a hypothetical question: IF tachyons exist, then what would happen? …

The formula for relativistic addition of speeds is well-known; say, if you were to have two objects travelling at each other at speeds of $v_1$ and $v_2$ (as measured by an outside observer), the speed … Let's assume that $Object_1$ is further out (in the plane of the velocity) from the observer, and that $v_1>v_2$. …

Are the results of Fizeau type experiments better explained by relativistic velocity addition or by the relativistic doppler effect. Or do both approaches give the same answer? …