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Ask Your Teacher 27 1 points Previous Answers SCalcETB 7.1.068 . My Notes mass decreases with time. Suppose the initial mass the rocket liftoff (including its fuel) is m, the fuel is consumed at rate r, and the accelerates by burnin its onboard fuel, t time tic at ven haust gases are ejected tive to the nocket) A modal ho valocity of the rockkat nstant velocity ve equation v()-gt ve In m- not too large. If g 9.8 m/s2, m 32,000 kg, r 2,800 m/s, find the height of the rocket one minute after liftoff. (Round your where g is the acceleration due to gravity and 140 kg/s, and ve the nearest whale meter.) answer 329359 Need Help? Read It Talk to a Tutor Save Progress Submit Answer Practice Another Version

Answer 1

Solution atto 60 Secorda Jhe Heigut at ^ockat GO 2H -g-ve n ave vCE we Nouo -Ve 60 6 0 .dt Ve 60 Ve [09].B- 60 Sin m a7 60 Ve = 1800 q ve In(m)x60 (: let arsume 1 d u m-t

dv d du- m- C Yt dt m-yt 60 tfm-60] dt GO 60. ln (m -60r] mIn (m-60 -60- Y Go In Cm- 601] m In m Go Veln(m)- 60Ve Now H - 18009 GOVe t

Given that 9-9 32, 000 k Y l40 kg Isec Ve = 2800 mlsec 60 2800 InC 32,000] x 2800 60 x140 60. Ve ln32ec- 32. 000x 2200 */o 32000- 60aluoj /40 32 000 x 00 xln 32,000 146 ]-169152-33 -T17,640 My9746 518 H - +168000] 64uy161.874 f6 6 39034 3563 H G, 64 m