Question #238271

Question 2

SpaceX plans to transport humans to Mars, but experienced a few rocket failures while on initial tests. So suppose the rocket to Mars (without people on board - another test flight) liftoffs from earth, from rest, with an acceleration of 52.0 m/s2. Unfortunately, after 8.15 s, the rocket experiences a failure and shuts off. It then continues to coast upward (with no appreciable air resistance). What is the maximum height the rocket reaches above the surface?


1
Expert's answer
2021-09-16T18:07:05-0400

l1=at22=1727 m,l_1=\frac{at^2}2=1727~m,

v=at=423.8 ms,v=at=423.8~\frac ms,

l2=v22g=9154 m,l_2=\frac{v^2}{2g}=9154~m,

l=l1+l2=10881 m.l=l_1+l_2=10881~m.


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