Sandbag dropped from balloon - find final velocity

AI Thread Summary
The discussion focuses on calculating various parameters related to a sandbag dropped from a hot-air balloon. The balloon ascends at a vertical speed of 2.50 m/s and experiences a horizontal wind of 1.10 m/s. Key calculations include the horizontal displacement of the balloon, the distance from the launch site where the sandbag lands, the time taken to reach 205 m, and the final velocity of the sandbag. Participants are encouraged to share the equations used for their calculations to clarify the results. Accurate calculations are emphasized over guesses, highlighting the importance of understanding the physics involved.
Chupu
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1. Experiencing a constant horizontal 1.10 m/s wind, a hot-air balloon ascends from the launch site at a constant vertical speed of 2.50 m/s. At a height of 205 m, the balloonist maintains constant altitude for 10.0 s before releasing a small sandbag. What is the horizontal displacement of the balloon? How far from the launch site does the sandbag land? How long it takes the balloon to reach the 205 m? What is the final velocity of the of the sandbag?

Thank you guys :)
 
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My guesses are the

horizontal displacement: 190m
how far from launch site: 180m
the balloon took: 82s
the final velocity: 6.018m/s
 


Why guess? All of these things are exactly knowable. What equations did you use for each result?
 

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