A plane is being tracked by radar, and data is taken every second in polar coordinates θ and r

t (sec) 200 202 204 206 208 210

θ (rad) 0.75 0.72 0.70 0.68 0.67 0.66

r (m) 5120 5370 5560 5800 6030 6240

1. Calculate the velocity of the plane as a function of time, where the velocity V is given by:

V= √r^2 + r(θ)^2.

Please compute the derivatives using the most accurate finite-difference method and comment on the choices you made (why did you choose to use a certain method at any given point).