An objects travels with an undamped oscillatory motion based on the following formula:

x=2sin(3.2t)+1.8cos(3.2t)

where: t is time in seconds

x is location in inches

Using MATLAB write a script file to compute the location of the object every 2 seconds over a time interval of 200 seconds (0 t 200 seconds ). Plot the location as a function of time.

The script file should also calculate:

a) the amplitude (the distance between the highest and lowest points of the oscillation).

b) the period of the oscillations; equal to twice the time it takes to travel from the highest point to the lowest point.