In inertial frame s, two events o and a are observed to occur at the same place, but 32 ns apart in time, with a occurring after o. in inertial frame s', the same two events are observed to occur 13.5 m apart in the r direction. (a) have clocks in either frame measured the spacetime interval (over c) between events o (b) use the metric equation (eq. 1.33) to calculate the coordinate time interval between the (c) calculate the speed of frame s as measured by observers in frame s'. hint: how far does (d) what is the speed of the frame s as measured by observers in frame s? and a? explain. events in frame s frame s appear to move in the time between events according to observers in frame s'? (e) draw two quantitatively accurate, fully labeled spacetime diagrams: one for each frame, assuming that frame s travels in the +x direction with respect to s. on each diagram, depict the two events, with event o as the origin event. on the diagram for frame s, also depict the worldline for an observer at the origin in s. on the diagram for frame s', also depict the worldline for an observer at the origin in s (f) using one of your speeds, are the coordinate time intervals in the two frames related by eq. 1.8 (either with prime and non-prime variables as they are, or reversed)? if so, confirm it. if not, explain why not.