Explanation:
The distance covered by an object is given by the following equation as :
[tex]d=\dfrac{1}{2}gt^2[/tex]..............(1)
Where
g is the acceleration due to gravity
t is the time
The value of t is measured to be, [tex]t=(2.4\pm 0.2)\ s[/tex]
To find the distance covered, put the value of t = 2.4 s in equation (1).
[tex]d=\dfrac{1}{2}\times 9.8\times (2.4)^2[/tex]
d = 28.224 meters
To find the uncertainty in the distance, put the value of t = 0.2 s in equation (1) as :
[tex]d=\dfrac{1}{2}gt^2[/tex]
[tex]d=\dfrac{1}{2}\times 9.8\times (0.2)^2[/tex]
d = 0.196 meters
Hence, this is the required solution.
