Answer
He left the floor with a speed of $5.05~m/s$
Work Step by Step
We can assume that the speed at a height of 1.3 meters is 0. We can find the initial speed $v_0$:
$v_f^2 = v_0^2+2a\Delta y$
$v_0^2 = v_f^2-2a\Delta y$
$v_0 = \sqrt{v_f^2-2a\Delta y}$
$v_0 = \sqrt{0-(2)(-9.80~m/s^2)(1.3~m)}$
$v_0 = 5.05~m/s$
He left the floor with a speed of $5.05~m/s$
