Question

Starting from rest at the top, a child slides down the water slide at a swimming pool and enters the water at a final speed of 4.00 m/s. At what final speed would the child enter the water if the water slide were twice as high? Ignore friction and resistance from the air and the water lubricating the slide.

Answer 1

(1/2) m v^2 = m g h
v = sqrt (2 g h)
or
v = k sqrt(h)
if you double h, you multiply v by sqrt 2

Answer 2

What is k?