The child's speed at the bottom of the slide is determined from conservation of energy as 3.71 m/s.
The speed of the child is determined from the principle of conservation of mechanical energy.
K.E + Ef = P.E
were;
Solve for kinetic energy
K.E + 366 = mgh
K.E = mgh - 366
K.E = (22 x 2.4 x 9.8) - 366
K.E = 151.44 J
Now solve for speed
K.E = ¹/₂mv²
2K.E = mv²
v² = 2K.E/m
v² = (2 x 151.44)/(22)
v² = 13.77
v = 3.71 m/s.
Learn more about conservation of energy here: https://brainly.com/question/166559
#SPJ4