A balloon is rising at 19 m/s when

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A balloon is rising at 19 m/s when a passenger throws a ball straight up at 21 m/s, prompting a question about the time it takes for the passenger to catch the ball. The original poster is struggling to find the correct solution and has attempted the problem multiple times without success. They express confusion about the relevant equations, particularly the role of gravity (9.8 m/s²) and initial velocity in the calculations. The discussion touches on Galilean relativity, emphasizing that the laws of physics remain consistent across different inertial frames. Clarification on these concepts is sought to solve the problem effectively.
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Homework Statement


A balloon is rising at 19 m/s when its passenger throws a ball straight up at 21 m/s. How much later does the passenger catch the ball?

Homework Equations


Don't know relevant equations. except v(t)=vot-0.5(9.8)t^2 but I don't think that works.

The Attempt at a Solution


I've attempted this question 4 different ways and times. The answer isn't 4.0816 or 8.1632.

Please help, any help would be appreciated.
 
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v0t? and why is g and 9.8 in the equation?

are you familiar with Galilean relativity?
 
granpa said:
v0t? and why is g and 9.8 in the equation?

are you familiar with Galilean relativity?

Fixed it sorry, no... I'm not familiar with Galilean relativity.
 
velocity=initial velocity + acceleration * time
Galilean invariance or Galilean relativity is a principle of relativity which states that the fundamental laws of physics are the same in all inertial frames. Galileo Galilei first described this principle in 1632 in his Dialogue Concerning the Two Chief World Systems using the example of a ship traveling at constant speed, without rocking, on a smooth sea; any observer doing experiments below the deck would not be able to tell whether the ship was moving or stationary. Today one can make the same observations while traveling in an aeroplane with constant velocity. The fact that the Earth on which we stand orbits around the sun at approximately 30 km/s offers a somewhat more dramatic example.
 
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