Algebra is required to solve this challenge.
The challenge today is to find the value of the fathomless fraction below. Try to find the exact form, not just a bunch of digits.
1+\frac1{2+\frac1{3+\frac1{4+…}}}Day: July 29, 2019
Baffling Bungee
This week’s science challenge requires the principals of physics and chemistry to solve.
Bob the bungee jumper goes bungee jumping over water on a cord made out of C5H8. The thickness of the rope is 3 centimetres. It’s natural length, the length it will have if not acted on by a force, is 1 metre. Bob starts the jump with a velocity vector with a magnitude of 1 metre per second and an angle of 45°. The lowest point of the jump is 1 metre above the water. Afterwards, the cord pulls Bob up to a stable position higher above the water. The challenge is to calculate the elasticity of the rope to figure out exactly how high.