Acceleration Problem: Solve for U & A

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The discussion revolves around calculating the acceleration of a free-fall object using the formula s = ut + 1/2at², with given parameters including a distance of 0.02m, time of 0.163 seconds, and a card length of 0.1m. The user is uncertain about the initial velocity (U), questioning if it should be zero. They mention obtaining an acceleration value of 9.15, which they suspect may not be accurate. Additionally, the impact of air resistance on lighter objects is highlighted, suggesting that results may vary based on the object's mass. Accurate calculations must consider these factors to determine the correct acceleration.
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Homework Statement


I have been given a set of results to analyse, regarding acceleration of a free fall object in a piece of paper, (100g mass, 10cm card) falling through a light gate at different heights, i am having problems with working out the acceleration using formulae.
Distance from gate = 0.02m
Time = 0.163 seconds.
U = 0 i presume..or maybe not(part of my problem)
S = 0.1 (the length of the card)


Homework Equations


s = ut + 1/2at(squared)


The Attempt at a Solution


I have got 9.15 once but i think it was a coincedence.
 
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For the lighter objects, you have to take the air resisatance into account. The answer you got correct, would probably have been for a heavier object cause the air resistance is negligible for them.
 

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