For a body starting from rest and moving with uniform acceleration, the ratio of the distances covered for is
Step 1: Given
Initial velocity,
Acceleration () is constant.
Step 2: Formulas used
From the three equations of motion, we know that,
where is the distance traveled, and is the time taken
Step 3: Calculate distance covered for integral multiples of time
At , distance covered is,
At ,
At ,
Step 4: Calculate the ratio of distance covered
Thus, the ratio of the distance covered is,
where subscript denotes term of the same.
Therefore, the ratio of the distances covered for is .