On a smooth horizontal platform a mass of 2 kg is dragged with a horizontal force of 10 Nt. On platform there are so many holes spreaded on its surface below which there is an air blower which exerts a force on block in upward direction depending on its height above the platformas `vec(F) = 20 (2 - h)N`, where h is the height of the block above the platform. Let at `t = 0` block starts from rest from origin of coordinate system shown. Find the equation of trajectory of the block during its motion. Consider x-axis along the motion ofparticle and y-axis in vertical up direction.

Answer

`[2 sqrtx = sin^(-1) (y - 1) - pi]`