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I was thinking abt the time dilation derivation thought experiment a flash of light shone on a mirror(imagine a window on the left and motion of vehicle towards right), transverse to the direction of motion.according to the derivation the person in the rest frame,P would see the light travelling along the hypotenuse but how? isn't that the speed of light doesnt change with the speed of the source?if i thro a ball from the vehicle perpendicularly then it may appear to go along the hypotenuse cos it wud hv 2 components,the velocity of vehicle&the perpendicular initial velocity with which the ball is thrown but in the case of light it shouldn't have the velocity of vehicle then the light should not hit the mirror in the 1st place according to P,

cos mirror would have moved and the light should escape thro the window isn't it(according to P)?

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# Time dilation derivation

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