The Initial height of the tire will be 0.32 m
Explanation:
We  have the formula,
h=Vf^2/2g
h=VĂ—fĂ—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=2.5Ă—2.5=6.25
2Ă—9.8 =19.8
h=6.25/19.8
h=0.32
The Initial height of the tire will be 0.32 m