Hi

Suppose the acceleration is constant

I am using a system of coordinates (Ox) such that O is the point where the ball is released from rest, (Ox) following the slope of the track

For t=0, x=0

For t=T, x=0.5atē

For t=2T, x=2atē

For t=3T, x=4.5atē

From t=0 to t=T the distance is 0.5atē

From t=T to t=2T the distance is 1.5atē = 3 x 0.5atē

From t=2T to t=3T the distance is 2.5atē = 5 x 0.5atē

The ratio is 1:3:5 etc