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According to the theory of relatively, the velocity vt() , as a function of time, of an object moving in a straight line under the effect of a constant force F can be shown to be 2 2 2 2 ( ) cFt v t F t m c = + where c is the speed of light and m is the mass of the object measured when it is at rest. (i) Show that v t c ( )  for all values of t . [Hint: multiply the numerator and the denominator by the factor Ft ]

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