A ball falls from the top of the building from rest under gr

A ball falls from the top of the building from rest under gravity. The displacement y of the ball varies directly to the square of time t and is given by y = (1/2)gt2

The percentage uncertainty in time measurement is ±5% and in value of gravity is ±3%. What will be the uncertainty in the displacement of the ball?

a. 3%

b. 5%

c. 8%

d. 13%

Solution

percentage uncertainty in displacement =2* percentage uncertainty in time +percentage uncertainty in gravity

= 10+3 =13%

A ball falls from the top of the building from rest under gravity. The displacement y of the ball varies directly to the square of time t and is given by y = (1

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