The force (N) during the drawback distance (m) are recorded to be x = [0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50]; F = [0 37 80 114 144 167 195 217 235 249 260];   a ) Use a single application of the Simpson’s 1/3 Rule (n=3 points) to estimate the kinetic energy of the slingshot pellet and provide the answer accurate to 4 decimal places.      Kinetic energy: Answer

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Chapter2: Second-order Linear Odes
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The force (N) during the drawback distance (m) are recorded to be

x = [0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50];
F = [0 37 80 114 144 167 195 217 235 249 260];

 

a ) Use a single application of the Simpson’s 1/3 Rule (n=3 points) to estimate the kinetic energy of the slingshot pellet and provide the answer accurate to 4 decimal places.

     Kinetic energy: Answer

b) See if you can improve your estimate by using two applications of the Simpson’s 1/3 Rule followed by two applications of the Simpson's 3/8 rule (in that order). Provide your answer accurate to 4 decimal places.

     Kinetic energy: Answer

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Since there are multipart, therefore find the solution of  part (a).

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