The world record for the women's hammer is held by Anita Wodarczyk, who threw 82.29 m (269 ft 11 in) during the Rio Olympic games on 15 August 2016. Assuming that g=9.80 m/s' in Rio, what is the slowest possible launch-speed that would allow the hammer to travel that distance? For simplicity, assume that the hammer is released at ground level.