Answer to Question #75525 in Quantitative Methods for Alice

Question

The position f(x) of a particle moving in a line at various times xk is given in the following table. Estimate the velocity and acceleration of the particle at x=1.2
x f(x)
1.0 2.72
1.2 3.32
1.4 4.06
1.6 4.96
1.8 6.05
2.0 7.39
2.2 9.02