Hot air balloon gravity homework

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SUMMARY

The problem involves a hot air balloon ascending at a speed of 3.4 m/s, releasing a package at an altitude of 11 m. The equation of motion used is y = y0 + v0*t + 0.5gt^2, where g is the acceleration due to gravity at 9.8 m/s². The calculated time for the package to hit the ground is 1.88 seconds; however, the online homework system marked it incorrect. Key factors to verify include the value of g, significant figures, and unit requirements in the final answer.

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Homework Statement


A hot air balloon is traveling vertically upward at a constant speed of 3.4 m/s. When it is 11 m above the ground, a package is released from the balloon. After it is released, for how long is the package in the air? The acceleration of gravity is 9.8 m/s^2. Answer in units of s.


Homework Equations


y=y0 + v0*t+0.5gt^2
quadratic equation

The Attempt at a Solution


0 = 11 + 3.4t - 4.9t^2
t=1.88 s

But the online homework said it is wrong. Someone check it please
 
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DrunkAppl said:

Homework Statement


A hot air balloon is traveling vertically upward at a constant speed of 3.4 m/s. When it is 11 m above the ground, a package is released from the balloon. After it is released, for how long is the package in the air? The acceleration of gravity is 9.8 m/s^2. Answer in units of s.

Homework Equations


y=y0 + v0*t+0.5gt^2
quadratic equation

The Attempt at a Solution


0 = 11 + 3.4t - 4.9t^2
t=1.88 s

But the online homework said it is wrong. Someone check it please
Your answer is conceptually correct. Online submission programs can be notoriously fickle. Check that you are using the correct value for g, the required number of significant figures and whether units are required in your final answer.
 

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