Chapter 37, Problem 68P

Figure 37-16 shows a ship (attached to reference frame S') passing us (standing in reference frame S) with velocity $\stackrel{\to }{v}=0.950c\hat{i}$. A proton is fired at speed 0.980c relative to the ship from the front of the ship to the rear. The proper length of the ship is 760 m. What is the temporal separation between the time the proton is fired and the time it hits the rear wall of the ship according to (a) a passenger in the ship and (b) us? Suppose that, instead, the proton is fired from the rear to the front. What then is the temporal separation between the time it is fired and the time it hits the front wall according to (c) the passenger and (d) us?