Answer:
8 %
Explanation:
The equation that shows the motion of a bll is :
s=0.5gt²
where,
s is displacement, g is acceleration and t is time.
The percentage uncertainty in the value of tis -3% and that in the value of g is +-2%.
[tex]\dfrac{\Delta t}{t}=\pm3\%\\\\\dfrac{\Delta g}{g}=\pm2\%[/tex]
Percentage error in s is :
[tex]\dfrac{\Delta g}{g}=\dfrac{\Delta g}{g}+2\dfrac{\Delta t}{t}\\\\\dfrac{\Delta g}{g}=2+2\times 3\\\\\dfrac{\Delta g}{g}=8\%[/tex]
So, the percentage uncertainty in the value of s is 8%.
