Tarzan plans to cross a gorge by swinging in an arc from a hanging vine (see Fig). If his arms are capable of exerting a force of 1200 N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 84 kg and the vine is 4.8 m long.

My physics optional extra work: This would be helpful so I can compare the solutions here as I do the work by myself.