(c) A space ship, Galactica is moving at a speed of 0.5c with a clock on board. By using the Lorentz time dilation equation, find the time elapsed for the clock on Earth if the moving clock in Galactica shows an interval time of 2 hours. Given that Galactica accelerates at 9.8 m/s2. Calculate the distance that the space ship must travelled to achieve the speed of 0.5c then find the time recorded on the Earth clock using the time dilation equation of an accelerate clock. Compare the results of the Lorentz time dilation and time dilation of an accelerated clock. (50 marks)