A rocket has been launched, and it's velocities at different times are collected. From these data,...

 

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A rocket has been launched, and it's velocities at different times are collected. From these data, the acceleration of the rocket, a (t)at t = 16 secis calculated numerically by using different methods (using h = 1)as shown in the table below (up to six decimal places): Difference method (t = 16) a Now, the velocity of a rocket as function of time obeys the equation below: Forward Backward Central 33.880085 32.898426 33.389255 where v is in m/s and tis in seconds. v (t) = 1900 In 12 * 10¹ 12 104 2000t - 9.8t, 1. [4.5 Marks] Find the truncation errors for the acceleration at t = 16sec for Forward, Backward and Central Difference methods. 2. [1.5 Marks] How do truncation error and rounding error behave when h → 0. A rocket has been launched, and it's velocities at different times are collected. From these data, the acceleration of the rocket, a (t)at t = 16 secis calculated numerically by using different methods (using h = 1)as shown in the table below (up to six decimal places): Difference method (t = 16) a Now, the velocity of a rocket as function of time obeys the equation below: Forward Backward Central 33.880085 32.898426 33.389255 where v is in m/s and tis in seconds. v (t) = 1900 In 12 * 10¹ 12 104 2000t - 9.8t, 1. [4.5 Marks] Find the truncation errors for the acceleration at t = 16sec for Forward, Backward and Central Difference methods. 2. [1.5 Marks] How do truncation error and rounding error behave when h → 0.

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Step1 To find the acceleration function we need to take the derivative of the velocity function w... View the full answer