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%
