Table 9.6 shows the distance s (meters) coasted on inline skates in t sec by Johnathon Krueger. Find a model for his position in the form of Equation (2) of Section 9.3. His initial velocity was ν₀ = 0.86 m/sec, his mass m = 30.84 kg (he weighed 68 lb), and his total coasting distance 0.97 m.

TABLE 9.6 Johnathon Krueger skating data t (sec) s (m) t (sec) s (m) t (sec) 0 0 0.13 0.08 0.27 0.19 0.40 0.28 0.53 0.36 0.67 0.45 0.80 0.53 0.93 1.06 1.20 1.33 1.46 1.60 1.73 0.61 0.68 0.74 0.79 0.83 0.87 0.90 1.86 2.00 2.13 2.26 2.39 2.53 2.66 s (m) 0.93 0.94 0.95 0.96 0.96 0.97 0.97