MCV4U Applications of Derivatives Assignment Solutions to this assignment should be neat and organized. Headings and intermediary conclusions will help to organize this multi-step analysis. (It would be wise to do a rough draft first.) See the attached rubric for further information on how this assignment will be graded. Question: You are a lifeguard at a pool and you need to get to a swimmer near the other end of the pool (as in the diagram below). 3m 15m S 5m 7m The shaded part indicates the pool deck (land) and the white part is the pool itself. The measurements indicate how far the swimmer, S, is away from each side of the pool. L is where you, the lifeguard begins. 4.5 m/s and you can swim 2 m/s. You can run Determine the route that will get to the swimmer the fastest. Provide mathematical evidence to support our chosen route. You may sume that you run at a constant speed, even around corners.. Solve this one and please use the diagram to explain PIC You are a lifeguard at a pool and you need to get to a swimmer near the other end of the pool (as in the diagram below). 15m 165 .08m 3m S 7m 5m 10.96 The shaded part indicates the pool deck (land) and the white part is the pool itself. The measurements indicate how far the swimmer, S, is away from each side of the pool. L is where you, the lifeguard begins. EXAMPLE time: 15-x 4 + (15-17 You can run 4 m/s and you can swim 2 m/s. Determine the route that will get to the swimmer the fastest. Provide mathematical evidence to support your chosen route. You may assume that you run at a constant speed, even around corners. Let Er be the distance ran/Let Ls be distance su 17m Fasiest, foute +LS += 4 VES-7714 e T5m = d + 15-Lr=s-49 ) 2LSh -2 4JTS-492 9.52 3.75 -1/2 L= 15-LS-49 +'=0- 2LS (2) (25-49) Flip LS = u(LS-4a) +3252 -=196 146 =8