1. The problem statement, all variables and given/known data A child is sitting on a wooden stick, hanging from a 3 m long blue rope, attached to the top of a 4 m tall metal pole. The child is performing uniform rotation around the pole, in such a way that the angle between pole and rope is . The horizontal distance between child and pole is called r. The centripetal acceleration resulting from the combined forces of rope and gravity is given by ac = g tan where g = 9.80 m/s2 is the gravitational acceleration. If the period of rotation is T = 3 s, what is: a) What is the angle ? The speed of rotation? r ? The angular speed? The centripetal acceleration? Now the nasty big brother taunts the child into going faster and faster, and keeps pushing him until his uniform motion has an angle with vertical of = 60 degrees. b) How fast is he now going, and what is the period of rotation? How high up in the air is the child now zooming around? As the helpless child is spinning overhead, the nasty big brother ducks underneath, reaches up and cuts the rope with a hedge-trimmer. c) How far does the child fly off before hitting the ground? You may assume that the child has the initial height and speed computed in b). 2. Relevant info So I have done a) and b) and I need some help with the c). I have found out (in a)) that the angle is 41.9 degrees, r =2m, angular speed=2,09m/s, centripetal acceleration=8.79m/s^2, and the speed of rotation=4.19m/s In b) I found that the speed is 6.65m/s, the period og rotation=2.46seconds and that the child is 2.5m up in the air. How can I solve the c). I had an idea, but I've found that it was wrong.