An object is released from rest and falls in free fall motion. The speed v of the object after it has fallen a distance y is given by

v2 = 2gy.
In an experiment, v and y are measured and the measured values are used to calculate g. If the percent uncertainty in the measured value of v is 3.34% and the percent uncertainty in the measured value of y is 5.00%, what is the percent uncertainty in the calculated value of g? (Do not enter units for this answer.)

2 answers

v is sq
v is squared, doubling the uncertainty

the value is then divided by y, which adds its uncertainty

(2 * 3.34%) + 5.00%
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