From rest, a 26.7 kg child is sliding down a 5.12 meter long playground slide in a time of 1.98 seconds. The slide forms a 32 degree with the horizontal ground. Assume that the child stays in contact with the slide for its entire length and that there is friction between the child and slide.
(a) Calculate the child's weight,
(b) Calculate the child's acceleration along the slide,
(c) Calculate the value of kinetic friction, and
(d) calculate the kinetic friction constant.