when does the speed becomes zero?
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According to Special Relativity, as a frame goes faster, it shortens more in the direction of motion, relative to the stationary observer. In the limit that it travels at exactly the speed of light, it contracts down to zero length.
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Acceleration is the rate at which an object's speed and direction are changing with time, so whenever an object passes through zero speed as it reverses directions it has a non-zero acceleration but a speed of zero. The simplest example is a ball thrown directly upward.
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