Let `m` be the mass `rho` be the density of the ball. Therefore, density of water `=rho`.
Energy of the ball on striking the water surface `=mgh=mgxx19.6J` ..(i)
Net force opposing the motion of the ball in water
`=` upthrust `-` weight of ball `=((m)/(rho)xx2rhoxxg)-mg=mg`
If `d` is depth upto which the ball goes in water, then Work done `=` energy of the ball on striking water surface
`mgxxd=mgxx19.6,:.d=19.6m`
Velocity on striking the water surface `u=sqrt(2gh)=sqrt(2xx9.8xx19.6)=19.6m//s`
From `upsilon=u +at,` `0=19.6-(9.8)t:.t=2s`
This is the time taken by ball to travel a depth `(d)` in water.
Total time taken by the ball to reach the water surface `=2+2=4s`