Free Fall Equations on hot air balloon

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Homework Help Overview

The problem involves a hot-air balloon descending while a camera is dropped from a height of 45 meters. The discussion centers around calculating the time it takes for the camera to reach the ground and its velocity just before landing, with a focus on the effects of gravitational acceleration and the initial downward velocity of the camera.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using kinematic equations to relate displacement, initial velocity, acceleration, and time. There is uncertainty about how to isolate time in the equations provided, and some participants express confusion regarding the signs for upward and downward directions.

Discussion Status

The discussion is ongoing, with some participants attempting to apply the kinematic equations while others suggest using the quadratic formula to solve for time. There is a recognition of the need to clarify the sign conventions for the problem.

Contextual Notes

Participants note that the problem does not provide time directly, leading to confusion. There is also mention of varying levels of experience with physics among participants, which may affect their understanding of the concepts involved.

matace50
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Homework Statement



A hot-air balloon is descending at a rate of 2.0 m/s when a passenger drops a camera. If a camera is 45m above the ground when it is dropped, (a) how long does it take for the camera to reach the ground(b) what is the velocity just before it lands? Let upward be the positive direction for this problem.


Homework Equations


I have to use either 2a x change in displacement= final velocity^2 - initial velocity^2 or
change in displacement= 1/2a x t^2 + initial velocity x change in time

a = acceleration t= time ^2= squared x= multiply

The Attempt at a Solution



I think i somehow have to rearrange the equation to isolate t but i have no idea how. Can anyone help
 
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For the first part, use the equation:

d = v1*t + (1/2)at^2

careful about signs... decide first if you want upward to be positive, or downward to be positive...
 
I see, but the problem doesn't give me time. I plugged everything in, but i still can't seem to get time.

(just started physics 2 weeks ago so I am kind of confused)
 
matace50 said:
I see, but the problem doesn't give me time. I plugged everything in, but i still can't seem to get time.

(just started physics 2 weeks ago so I am kind of confused)

You have to use the quadratic formula to solve for time.
 
Ok now i understand. Thanks
 

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