The following data is obtained for the velocity of a vehicle during a crash test

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Problem 1:

The following data is obtained for the velocity of a vehicle during a crash test:

t(seconds)

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008

v(m/s) 13.41 13.19 12.52 10.28 4.47 2.24 0.89 0.22

0

Determine the instantaneous force F acting on the vehicle during the crash. The force can be calculated by F = md, and the mass of the car m is 1089 kg.

• a. Determine the force acting on the vehicle at t=0 by using a 2nd order forward difference formula for calculating the derivative.

• b. Determine the force acting on the vehicle at t=0.008s by using 2nd order backward difference formula for calculating the derivative.

• c. Determine the force acting on the vehicle between t=0.001s and t=0.007s, inclusive by using 4th order central difference formula for calculating the

derivative.

• d.Plot Force versus time graph.

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