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Using Matlab: Accelerometers are widely used in aircraft, rockets, and other vehicles to estimate the vehicle’s...

Using Matlab:

Accelerometers are widely used in aircraft, rockets, and other vehicles to estimate the vehicle’s velocity and displacement. The accelerometer integrates the acceleration signal to produce an estimate of the velocity, and then it integrates the velocity estimate to produce an estimate of displacement. Suppose the vehicle starts from rest at time ? = 0, and its measured acceleration is given in the following table.

Time (s) 0 1 2 3 4 5 6 7 8 9 10

Acceleration (?/? 2 ) 0 2 4 7 11 17 24 32 41 48 51

a) Estimate the velocity ? at 10 s.

b) Estimate and plot vehicle’s displacement.

Solve this problem by implementing and employing a trapezoidal integration algorithm. One cannot use the trapz() function

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