In 1980, the bungee jump begun and started in UK. Where four athletes from “dangerous sport club” in Oxford University jumped from bridge in Bristol, UK toward the 250 foot Avon Gorge. Each attached one end of a nylon-braided, rubber shock cord to themselves and the other to the bridge. Nowadays bungee jumping is one of the most excited and extreme sports and the most thrilling one as well. Many tough guidelines and safety factors have set up to protect people practice this sport from any risk as much as possible. Unfortunately, even with all these precautions, bungee jumping accidents still occur. A recent accident happened in 2012 at Victoria falls, Zimbabwe. In this paper, we are going to present this problem, modeling then simulate it using Matlab software. We will combine two courses together “ordinary differential equations” and introduction to Physics. This paper can be used as reference to all engineering students as educational case study where the theory is applied to real life application, lead to a better understanding of the phenomena and maximize the human safety.