$[0/2$ Points$]$

SERPSE$1038.$A$.$OP$\mathrm{.}036.$MI$.$

Spacecraft I, containing students taking a physics exam, approaches the Earth with a speed of $0\mathrm{.}700$ c $($relative to the Earth$),$ while spacecraft II$,$ containing professors proctoring the exam, moves at $0\mathrm{.}260c($relative to the Earth$)$ directly toward the students. The professors stop the exam after $72\mathrm{.}0$ min have passed on their clock.

$($a$)$ For what time interval $($in minutes$)$ does the exam last as measured by the students?

This would be correct if the velocity of the professor were in the same direction as the velocity of the students. min

$($b$)$ For what time interval $($in minutes$)$ does the exam last as measured by an observer on Earth?

From the Earth's perspective, the professors' clock is running slowly. Will more or less time elapse on the Earth clock while $72\mathrm{.}0$ min have passed on the professors' clock? min

What If$?$ Suppose one of the professors proctored the exam by traveling on spacecraft I and stopped the exam after $72\mathrm{.}0$ min elapsed on her clock.

$($c$)$ For what time interval $($in minutes$)$ does the exam last as measured by the professors on spacecraft II$?$

min

$($d$)$ For what time interval $($in minutes$)$ does the exam last as measured by an observer on Earth?

min

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