1. The problem statement, all variables and given/known data One game at the amusement park has you push a puck up a long, frictionless ramp. You win a stuffed animal if the puck, at its highest point, comes to within 10 cm of the end of the ramp without going off. You give the puck a push, releasing it with a speed of 5.0m/s when it is 8.5m from the end of the ramp. The puck's speed after traveling 3.0m is 4.0 m/s. Are you a winner? 2. Relevant equations vf^2 = vi^2 +2ad x(t) = 1/2at^2 + vt 3. The attempt at a solution a = (vf^2-vi^2)/2d a = (16-25)/6 a = -3/2 m/s/s x(t) = -3/2t^2 + 5t m v(t) = -3t + 5 m/s v(t) = 0 = -3t + 5 t = 5/3 x(5/3) = 26/5 m = 4.16m df = 8.5 - 4.16 df = 4.3 Therefore, you are not a winner because you are off by a distance of 4.2m before you earn the stuffed animal at the amusement park. Is this the correct method of doing this question. I feel that I am wrong because in high school it was always winning or going in the basket and not it is not. I believe it is unlikely that the answer will tell us that we are not a winner. Is there anything wrong with my logic process here?