A child whose weight is 350 N swings out
over a pool of water using a rope attached
to the branch of a tree at the edge of the
pool. The branch is 10.2 m above ground
level and the surface of the water is 1.79 m
below ground level. The child holds on to a
rope of length 7.2 m attached to the branch
and moves back until the angle between the
rope and the vertical is 12◦. When the rope is
in the vertical position, the child lets go and
drops into the pool. The acceleration due to gravity is 9.81 m/s^2

Find the speed of the child at the surface of
the water.
Answer in units of m/s.