the lorentz transformations between two inertial frames s and s' may be written a) a ruler of length l is at rest in s. use the appropriate lorentz transformation 3 marks b) using the appropriate lorentz transformation formulae derive the following velocity formula to derive an expression for the length of the ruler as measured in s transformation formulac: 10 marks] c) a spaceship travelling directly bway from the earth fires a projectile with velocity 0.5c perpendicular to the line to the earth as measured in the spaceship. measure- ments from the earth show that the projectile's velocity has a component of 0.4c perpendicular to the line to the spaceship what is the spoed of the spaceship relative to the earth? 8 marks) whst is the magnitude and direction of the projoctile's velocity as measured from 4 marles] the earth?