A non-uniform sphere of mass 5kg is projected from h metres above sea level. It is dropped accelerating in a straight line, without any intial forces. At time t seconds, the sphere hits the sea and is then its motion is encouraged by gravity, and impeded by water resistance of which gradually increases by 4Ns. Given that the depth of the sea is 100m;
find -
1. h
2. acceleration as a result of water resistance (each second)
3. any assumptions made in your calculation
4. t