(Solved by Humans)-A rocket accelerates by burning its onboard fuel, so its mass
Question
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) ism, the fuel is consumed at rater, and the exhaust gases are ejected with constant velocity?ve(relative to the rocket). A model for the velocity of the rocket at time "t"?is given by the equation ? ? ? ??v(t) =?gt?veln (m-rt)/(m)
where "g"?is the acceleration due to gravity and "t"?is not too large. If?g= 9.8 m/s2,m=32,000kg ,?r?=?180kg/s,?and?ve=3,100m/s, ??find the height of the rocket one minute after liftoff. (Round your answer to the nearest whole meter.)
Bypass any proctored exams 2025. Book your Exam today!
? Stressed About Your Proctored Exam? You're Not Alone. But We've Got the Solution! ?
Failing attempts? Confusing materials? Overwhelming pressure?
✨ We help you pass your exam on the FIRST TRY, no matter the platform or proctoring software.
✅ Real-time assistance
✅ 100% confidential
✅ No upfront payment—pay only after success!
? Don’t struggle alone. Join the students who are passing stress-free!
? Visit https://proctoredsolutions.com/ and never get stuck with an exam again.
? Your success is just one click away!
Failing attempts? Confusing materials? Overwhelming pressure?
✨ We help you pass your exam on the FIRST TRY, no matter the platform or proctoring software.
✅ Real-time assistance
✅ 100% confidential
✅ No upfront payment—pay only after success!
? Don’t struggle alone. Join the students who are passing stress-free!
? Visit https://proctoredsolutions.com/ and never get stuck with an exam again.
? Your success is just one click away!