If a particle moves such that the displacement is proportional to the square of the velocity acquired, then its acceleration is
Constant
Step 1: Given information:
When a particle moves, its displacement increases proportionately to its gained velocity squared,
Step 2: Formula used and apply the condition:
Know that if displacement ,
It can be written as,
Therefore,
Now differentiate the function,
Therefore the acceleration is constant.
Hence, the correct option is (E).