Answer
The person is not a winner.
Work Step by Step
We can find the acceleration of the puck;
$a = \frac{v^2-v_0^2}{2d}$
$a = \frac{(4.0~m/s)^2-(5.0~m/s)^2}{(2)(3.0~m)}$
$a = -1.5~m/s^2$
We can find the distance the puck moves with an initial speed of 5.0 m/s;
$d = \frac{v^2-v_0^2}{2a}$
$d = \frac{0-(5.0~m/s)^2}{(2)(-1.5~m/s^2)}$
$d = 8.33~m$
The puck was initially 8.5 meters from the end of the ramp. The puck reaches a distance of 0.17 m from the end of the ramp. Since the puck needed to come within 10 cm of the end of the ramp, the person is not a winner.
