For the amount of kinetic energy and assumed 100g mass, the velocity would be ~15.5 m/s, or ~60 km/h. Assuming force is constant, we can use the constant acceleration formula to see the distance over which the force was applied:

i.e. The poor girl would either have to do a runner-up or she'll need ~3.8m long arms. This seems slightly ridiculous, and this is caused by a poor estimation of the time.
I'd like to say this is a prime example of over-analysis. The VCE mindset make us link the phrase 'kinetic energy' automatically with

. The formula you really want is

, where W is the work done (change in mechanical energy in this case).
For a typical throw over 1 meter, a force of 12N is required, and the contact time is roughly 0.13 seconds (assuming 100g ball).