Question

The largest swing in the world has a string length of 300 meters. If you are at a position at 60° with the vertical. What is your final velocity when you reach the bottom of the swing?

Answer 1

From the conservation of energy:

$$0.5mv^2=mgh$$

$$v^2=2gl(1-\cos{60})$$

$$v^2=2(9.8)(300)(1-0.5)$$

$$v=54\frac{m}{s}$$