How long time until it hits the ground

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The discussion centers on calculating the time it takes for a shoe dropped from a roller coaster to hit the ground after 0.10 seconds. The roller coaster's acceleration is given as 34.37 m/s². Participants suggest starting with the basic physics equation for acceleration and considering the forces acting on the shoe, primarily gravity. The key point is to determine the shoe's velocity after the initial drop and the impact of gravitational acceleration on its descent. Understanding these concepts will help in solving the problem effectively.
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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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