Maximum speed of a child on a swing rising 0.5 m

[asddsa]

I don't find this topic too difficult but I am really stuggling on a question (im sure its really simple though)

A child on a swing rises through a height of 0.5m. Ignoring resistive energy losses, calculate the maximum speed of the child (the child doesn't increase/decrease swing height and take g=10m/s/s)

Please could someone tell me the method and the answers you get. (the book says 3.2m/s but i didn't get that)

Thanks.

 

[Doc Al]

Use conservation of energy.

 

[asddsa]

oh, how would you do that ? I thought it was to do with the SHM equations.

 

[daniel_i_l]

The speed will be maximal when all of the original potential energy is converted to kinetic energy. The PE is given by mgh. The KE is 0.5mv^2.
You can't use the SHM equations here cause all you have is the height.