b) Answer all the following questions based on the time and velocity given below. Time Velocity...

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b) Answer all the following questions based on the time and velocity given below. Time Velocity 0 5 10 15 18 24 20 103.8135 208.4810 328.0835 544.83 711.32 2.1) Using Direct Method, Find the velocity at t=12.4 seconds a) Linear interpolation (Minimum 4 decimal places) Quadratic interpolation (Minimum 4 decimal places) after finding the necessary coefficients. (c) Find the error between Linear and Quadratic interpolations (Minimum 4 decimal places G) Using Cubic interpolation with Newton method, find the velocity at t=12.4 seconds b) Answer all the following questions based on the time and velocity given below. Time Velocity 0 5 10 15 18 24 20 103.8135 208.4810 328.0835 544.83 711.32 2.1) Using Direct Method, Find the velocity at t=12.4 seconds a) Linear interpolation (Minimum 4 decimal places) Quadratic interpolation (Minimum 4 decimal places) after finding the necessary coefficients. (c) Find the error between Linear and Quadratic interpolations (Minimum 4 decimal places G) Using Cubic interpolation with Newton method, find the velocity at t=12.4 seconds