The data below describes the position of a glider as a function of time. Use thi

Question

The data below describes the position of a glider as a function of time. Use this information to calculate both the velocity and the acceleration of the glider in the z direction at every quarter second from 0 to 1.5 s using (a) a finite difference method that is second order accurate and (b) a polynomial fit to the data. 0 287 0.25 278 0.50 264 0.75 213 1.00 167 1.25 103 1.50 12 As part of your solution, make a plot of the data and the polynomial fit of z vs t, a plot of velocity estimated using both approaches vs t, and a plot of acceleration estimated using both approaches vs t. Based on these plots, which approach do you think is better for estimating velocity, and which for acceleration?

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