In the table given below, experimentally obtained velocity (dependent variable) vs time (independent variable) data is provided. Please answer the following questions using the data. Time (t) Velocity (v) 0.0 1 0.8 2 1.4 3 2.1 4 2.6 3.3 7 3.9 4.9 10 6.0 12 8.6 14 14.4 a) What is the total displacement between t 0- 14 seconds. Please note that displacement is obtained via X = SV dt. Please use a combination of numerical integration methods and prefer to use as many as high accuracy methods as possible. b) Please calculate the acceleration at t = 2 seconds using the most accurate method %3D dv possible. Please note that acceleration is obtained via a = dt c) Please calculate the acceleration at t = 14 seconds using the most accurate method dv possible. Please note that acceleration is obtained via a = dt

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