Using Matlab:

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

Accelerometers are widely used in aircraft, rockets, and other vehicles to estimate the vehicles 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.

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

b) Estimate and plot vehicles displacement.

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