Underwater kicking is the fastest swimming stroke. Michael Phelps' underwater dolphin kicks were one the main reasons why he famously won eight gold medals at the 2008 Olympics. Below is a rough model of swimming speed after a dolphin kick as a function of time. V(t) = 0.153 -0.71 + 0.1 +4 (a) (8 points) Numerically approximate the acceleration 3 seconds after an underwater kick. Final Answer: (b) (4 points) In the graph below, indicate graphically what your computation from part (a) corresponds to. V(t) 6 5 4 3 2 1 1 1 2 -t 5 6 (c) (2 points) Can we improve the previous approximation? If so, explain how. If not, explain why not.