The Initial height of the tire will be 0.32 m
Explanation:
We have the formula,
h=Vf^2/2g
h=V×f×f/2g
where Vf denotes the speed of the tire at the bottom of the swing
where g denotes the acceleration
due to the gravity
h=2.5×2.5=6.25
2×9.8 =19.8
h=6.25/19.8
h=0.32
The Initial height of the tire will be 0.32 m