How High is the Apartment House from Which Balloons Were Dropped?

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To determine the height of the apartment house from which the balloons were dropped, the problem involves calculating the time it takes for both balloons to hit the ground, considering one is dropped and the other is thrown downward with an initial speed. The acceleration due to gravity is given as 9.8 m/s². The first balloon is released from rest, while the second is thrown 3.8 seconds later. Participants in the discussion emphasize the need to apply kinematic equations to solve for height, and there is a reiteration that the forum is not a homework service but a platform for guidance. The final answer requires proper application of physics principles to derive the height in meters.
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Homework Statement



You and your friend throw balloons ¯lled with
water from the roof of a several story apart-
ment house. You simply drop a balloon from
rest. A second balloon is thrown downward
by your friend 3:8 s later with an initial speed
of 74:48 m=s. They hit the ground simultane-
ously.
The acceleration of gravity is 9:8 m=s2 : You
can neglect air resistance.
How high is the apartment house? Answer
in units of m.

Homework Equations



idk

The Attempt at a Solution



too many wrong attempts
 
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too many wrong attempts

Show us one, so we can see what you're thinking.
 
Or you could just give me the answer.
 
No, I can't. That's against forum rules. We aren't a homework service. You must do the work, we can only guide you.
 
I do not know what equation to use. Can someone help me with that?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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