Question

if the velocity is directly proportional to the square root of its displacement then what will be the acceleration

Answer 1

v=k.sqrt(s)(where k is the constant of proportionality)


a=dv/dt
so to get acceleration,differentiate velocity.


dv/dt=(k/2)/s^2
a=(k/2s^2)
so acceleration is inversely proportional to square of displacement.
done.
feel free to ask anything.