A balloon is rising at 19 m/s when

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In summary, the question involves a balloon rising at a speed of 19 m/s and a passenger throwing a ball straight up at 21 m/s. The task is to find the time it takes for the passenger to catch the ball. The relevant equation for this problem is v(t) = v0t - 0.5(9.8)t^2, where v(t) is the velocity at time t, v0 is the initial velocity, and 9.8 is the acceleration due to gravity. The concept of Galilean relativity is also mentioned, which states that the laws of physics are the same in all inertial frames.
  • #1
imac
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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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  • #2
v0t? and why is g and 9.8 in the equation?

are you familiar with Galilean relativity?
 
  • #3
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.
 
  • #4
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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