How high (in m) will the swing be at the high point?

Question

A child on a swing has a speed of 3.7 m/s at the low point of the arc.

Answer 1

At the bottom of the swing she has kinetic energy of 1/2 m v², when v = 3.7

At the highest point all this has been converted to potential energy mgh

So mgh = 1/2 mv², with v = 3.7, g = 9.81

Using this equation you can find h, which is the required answer