Apologies if this is in the wrong place.
Heres a problem posed on another forum. Not realistic but a brain teaser.
A man is atop 100m high stilts. He pushes himself forward in such a way that he falls forward but the base of the stilt remains attached to its initial point. He remains attached to the stilts right down to hitting the ground.
Will he cross the finish line of a 100m race before a world record sprinter? (The world record being 9.74 seconds)
Im thinking that because the distance from the origin is constant (100m) due to being on the stilts that the falling mans path is a form of circular motion. Its not uniform circular motion because gravity is always acting and its not acting towards the origin but acts downwards.
Any ideas on how to get either the angle the stilts make with the ground as a function of time or position of the man as a function of time?
Ive got a mess of scrawlings basically:
The tangiential acceleration is
At is also the radius multiplied by the second derivative of the angle with respect to time. It also appears to be equal to m.g.sin(angle)
From that ive tried to get the angle as a function of time but am stumped? Have i just written rubbish? Any Ideas? (other than advice not to get involved with such insane races!)