Table 9.5 shows the distance s (meters) coasted on inline skates in terms of time t (seconds) by Kelly Schmitzer. Find a model for her position in the form of Equation (2). Her initial velocity was ν₀ = 0.80 m/sec, her mass m = 49.90 kg (110 lb), and her total coasting distance was 1.32 m.

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TABLE 9.5 Kelly Schmitzer skating data t (sec) s (m) t (sec) s (m) 0 0.07 0.22 0.36 0.49 0.60 0.71 0.81 0 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 2.1 2.3 2.5 2.7 2.9 0.89 0.97 1.05 1.11 1.17 1.22 1.25 1.28 t (sec) 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 s (m) 1.30 1.31 1.32 1.32 1.32 1.32 1.32 1.32