HI,I have a question about hot air balloon problems. I\'m working with cutnell\'

Question

HI,I have a question about hot air balloon problems. I'm working with cutnell's books, and it's his sixth edition of it. There's one on chapter two problem 68 where it's a tourist accidentally dropping out a compass when the hot air balloon is 3m above the ground. My teacher taught me to use 0m/s for it's initial velocity and 9.8m/s2, but there's also another problem that I'm encountering right now on chapter 3, which says a hot air-balloon is rising straight up with a speed of 3.0m/s, a ballast bag is released from rest relative to the balloon when it is 9.5m above the ground. My teacher taught us to use 3m/s instead of 0m/s for it's initial speed, I'm so confused, why is it not 0m/s for it's initial speed, it started from rest, too, right?So isn't it's initial speed suppose to be 0m/s??

Explanation / Answer

   *   When any body is droppedfreely from a hot air balloon , then the initialvelocity of the body is equal to the velocity of          hot air balloon at the moment ofdropping of the body even though it is in rest relative to theballoon    *   In the first case, theballoon is at rest. So, the initial velocity of the body is 0m/s.    *   in the second case, itwas given that the balloon was rising up with a speed 3 m/s.so, initial velocity of the body         should beequal to velocity of the balloon i.e., 3 m/s .    *   moreover, the velocity ofthe body should be taken as - 3 m/s because it was going down

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