The shot putter should get out of the way before the ball returns to the launch position.
Assume that the launch height is the reference height of zero. u = 11.0 m/s, upward launch velocity. g = 9.8 m/s², acceleration due to gravity.
The time when the ball is at the reference position (of zero) is given by ut - (1/2)gt² = 0 11t - 0.5*9.8t² = 0 t(11 - 4.9t) = 0 t = 0 or t = 4.9/11 = 0.45 s
t = 0 corresponds to when the ball is launched. t = 0.45 corresponds to when the ball returns to the launch position.
