228 The UMAP Journal 24.3 (2003) E88g308品 0.5 2.5 0.2 0.4 0.6 0.8 velocity E 2 6 0.6 time(s) Figure 1. Simulation of box catcher stopping stunt person and motorcycle However, we can do better. We take our previous solution, remove one layer of boxes, and change the top layer to boxes with height 6 m and width 3 m(for a y 1.3). Weve removed a row without compromising the safety of the stunt person. In this way, we can make changes until we arrive at an optimal arrangement one with the fewest boxes necessary David blaine's vertigo On May 22, 2002, David Blaine leaped from a ten-story pole onto a cardboard box catcher below. We consider his fall of more than 25 m onto approximately 4 m of boxes. His impact velocity was approximately 36.5 m/s(using the approximation uf=v2gh, which is valid since the terminal velocity for a person falling in air is about 60 m/s[Resnick et al. 1992D) Viewing his fall in the TV special [ David Blaine's vertigo 2002],we estimate the boxes to have height e=3 m and width w=3 m, with 12 layers of boxes in228 The UMAP Journal 24.3 (2003) 0 0.2 0.4 0.6 0.8 2. 5 2 1. 5 1 0. 5 0 position distance below top of box catcher (m) time (s) 0 0.2 0.4 0.6 0.8 8 6 4 2 0 2 velocity velocity (m/s) time (s) Figure 1. Simulation of box catcher stopping stunt person and motorcycle. However, we can do better. We take our previous solution, remove one layer of boxes, and change the top layer to boxes with height 1 6 m and width 2 3 m (for a γ ∼ 1.3). We’ve removed a row without compromising the safety of the stunt person. In this way, we can make changes until we arrive at an optimal arrangement, one with the fewest boxes necessary. David Blaine’s Vertigo On May 22, 2002, David Blaine leaped from a ten-story pole onto a cardboard box catcher below. We consider his fall of more than 25 m onto approximately 4 m of boxes. His impact velocity was approximately 36.5 m/s (using the approximation vf = √2gh, which is valid since the terminal velocity for a person falling in air is about 60 m/s [Resnick et al. 1992]). Viewing his fall in the TV special [David Blaine’s Vertigo 2002], we estimate the boxes to have height  = 1 3 m and width w = 2 3 m, with 12 layers of boxes in