How long time until it hits the ground

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SUMMARY

The discussion centers on calculating the time it takes for a shoe dropped from a roller coaster to hit the ground, given an acceleration of 34.37 m/s². The initial time before the shoe is dropped is 0.10 seconds. The only force acting on the shoe after it is released is gravity, which accelerates the shoe downwards at approximately 9.81 m/s². To solve the problem, one must apply kinematic equations to determine the total time until impact.

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Homework Statement



A boy on a roller coaster dropped his shoe after 0,10. How long time will it take until his shoe hits the ground. The roller coasters acceleration is 34,37m/s^2


Homework Equations



First i started looking at a = delta v / delta t


The Attempt at a Solution



I have really no idea where to begin, not sure if it was acceptable to post this but i'd appreciate a tip or something that could get me started.
 
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You can figure out how fast the boy/shoe is moving after 10s.

What is the only force acting on his shoe after he drops it?
 

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