As a $6000-kg$ training plane lands on an aircraft carrier at a speed of $180k\frac{m}{h},$ its tail hooks into the end of an $80-m$ long chain which lies in a pile below deck. Knowing that the chain has a mass per unit length of $50\frac{Kg}{m}$ and assuming no other retarding force, use computational software to determine the distance traveled by the plane while the chain is being pulled out and the corresponding values of the time and of the velocity and deceleration of the plane.

The following tasks are required to achieve the objective:

Describe the plan to generate data for time $t,$ velocity $v$ and acceleration a using the distance travelled by the plane $x$ from $0$ to $80$ m in $5-m$ increments.

Choose a computer software for computation and plotting. Justify why the software is selected.

Derive the necessary equations to generate the data and plotting.

Generate columns of numerical values for $x,t,v$ and a for $0x80m,$ in steps of $x=5m$ and plot $a-x,v-x$ and $x-t$ graphs by using Matlab