An event A has coordinates (ctA, 56A) = (4, 3). (i) Is the displacement vector from the origin to A spacelike, lightlike, or timelike? What time dierence is measured by a clock that moves uniformly from the origin to A? (ii) Compute the displacement vector ($14,532) of A seen by an observer moving with half the speed of light in the zit-direction. Is this vector spacelike, lightlike, or timelike? (iii)* Repeat part (ii) with graphical methods: Draw event A in a space-time diagram with two frames (ct,:r) and (ct',:c") and read off the coordinates (013:4, :32) by measuring distances in your diagram. (iv) What is the speed of a second observer who experiences the origin and A at the same point in space? Compute the time difference that separates the two events in this frame