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I took a ball of mass= 530g and someone held it in a high for me, i wanted to find that high and what i did is :

1. act a force of 7N on it

2. the time of ball going down was 3s

i wanted to find the high and what i did is:

##high=force acted * time / mass##

when i calculated that, the units were wrong and i squared the time. What i won was this:

##h=\frac{Ft^2}{m}## and i got

##m=\frac{\frac{kgm}{s^2} * s^2}{kg}##

(kg simplified with kilogram, the s^2 with s^2 , and i won m)

I did the same thing again and the high was exactly as calculated ( 120.7547169811321m)(121m)

But I think there's still something wrong in formula because there's no gravity in formula , but then my friend said ##a=F/m## but in this case we have a high so gravity would be F/m, and we would still win ##h=gt^2## . Is all this right? thanks for reading !

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# Experiment with forces - Formula question

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