A new fuel for recreational boats being developed at the local university was tested at an area pond by a team of engineers. Their interest is to document the environmental impact of the fuel – how...

Extracted text: A new fuel for recreational boats being developed at the local university was tested at an area pond by a team of engineers. Their interest is to document the environmental impact of the fuel – how quickly does the slick spread? Table 1 shows the video camera record of the radius of the wave generated by a drop of the fuel that fell into the pond. Using the data, A. Compute the rate at which the radius of the drop was changing at =2 seconds. B. Estimate the rate at which the area of the contaminant was spreading across the pond at t =2 seconds. Table 1 Radius as a function of time. Time, t (s) 0 0.5 1.0 1.5 | 2.0 2.5 3.0 3.5 4.0 Radius, 0 0.236 0.667 1.225| 1.886 2.635 3.464 4.365 5.333 R (m) Use the second order polynomial of the first derivative to solve the above problem. Use a time step of 0.5 seconds.