The changing of position of an object with respect to time t is given by the following

function (over the time period 0 ≤ t ≤ 5s):

x (t) = 4t³ + 2t² +t+1

Providing evidence of your approach in a spreadsheet or word document, using the

provided code for forward, backward and central difference method, determine the

velocity of the object at t = 2S considering step sizes h = 1, 0.1 and 0.01. Compare

the accuracy and cost of the approach. How do the results compare to the analytical

solutions?

Furthermore, providing evidence of your approach in a spreadsheet or word

document, using the provided code for forward, backward and central difference

methods, determine the acceleration the object at t = 3s considering step sizes h

= 1, 0.1 and 0.01. Compare the accuracy and cost of the approach. How do the

results compare to the analytical solutions?