Lauren has a bow that can shoot arrows at speeds of 0.3c. She istravelling across the Great Sandy Desert to her next archerycompetition on an ultrafast train that moves at a speed of 0.5c.She has set up to practise on the train with a target that is 150 maway from her in the same direction that the train istravelling.
Greg is standing on a platform as the train travels by.
(a) What is the time between the events “Lauren shoots arrow”and “arrow hits target” for Lauren?
(b) How far is Lauren from the target as measured by Greg?
(c) When Lauren shoots an arrow, what is its speed as measuredby Greg?
(d) Do either Greg or Lauren measure the proper time between theevents described in (a)? Explain your answer.
(e) How long does it take for the arrow to reach the target asmeasured by Greg?
