The Theory of Relativity indicates that the mass of an object is given by m = (m0)/ (√1-(v^2/c^2)) where m0 is the mass of the object at rest, v is its velocity and c is the speed of light. If the velocity of an object is given as v= k * c * t where t is the time measured in seconds, then find the average mass of the object relative to the time, from t= 0 to t= 1/2k at which point it is
travelling at one-half the speed of light.