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d) Suppose we calculate the acceleration due to gravity, g, by measuring the time, t, for...

d) Suppose we calculate the acceleration due to gravity, g, by measuring the time, t, for a stone to fall from a height, h, above the ground. The time is determined to be 1.6 ± 0.12 s and the height is determined to be 41.2 ± 0.23 ft.

a. What would be the value for g Hint: ? = 0.5gt^2

b. What is ?g if the uncertainty is random and independent?

c. What is ?g if the uncertainty is determined not to be random and independent?

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