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?
 

Thread 'Errors and significant figures'

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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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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