Maximum velocity:

$\overline{){{\mathbf{v}}}_{\mathbf{m}\mathbf{a}\mathbf{x}}{\mathbf{=}}\sqrt{\mathbf{2}\mathbf{g}\mathbf{L}\mathbf{(}\mathbf{1}\mathbf{-}\mathbf{c}\mathbf{o}\mathbf{s}{\mathbf{\theta}}_{\mathbf{m}\mathbf{a}\mathbf{x}}\mathbf{)}}}$

A 20 kg child is on a swing that hangs from 3.0-m-long chains.

What is her maximum speed if she swings outto a 45° angle?

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