According to special relativity, objects moving at speeds near the speed of light are shortened $($length contraction$).$

Write a MATLAB program $($script$)$ that given the length of a rod L in meters and the velocity of the rod v in meters per sem

be shortened by A rod of length L moving at velocity v is shortened by d$,$ where d can be computed from

$6$L$(1-$

and c$=300$x$10$ m$/$s is the speed of light

The length of the rod and velocity of the rod should be read from the user using command line input Test your program to verify its operation include comments at the end of the program indicating the test cases used.

Hints: You can read in data from the user using MATLAB's built in function Input $($on your own MATLAB Installation, it$)$ and you can display results using MATLAB's built in function fprintf

MATLAB sertex$)$ function will calculate the square root of x$.$ For example, sqrt$(4)$ will give you back $2$ Using help under MATL

Make sure that

$1.$ Program should have a proper comment header

$2.$ Values should be stored in variables rather than using literats in the formula

$3.$ Variables names should be meaningful

Solution $1$:$2$ of $4$ tests passed $(50\%)$

Submitted about $18$ hours ago $|$ ID: $257533441|$ Size: $40$

$\%1.$ get input $-$ the length of a rod $1$ in meters and the velocity of the rod $v$ in meters per second

$\%$ Using input $10$ for $L$ and ${280}^{**}{10}^{{?}^{{?}^{?}}}6$ for $v$ to test your program.

$\%1=$ input$(\text{'}$Please input the length of a rod'$)$;

$\%v=$ input$(\text{'}$Please input the velocity of the rod'$)$;

$\%$ MATLAB input function read a number from a user if running under MATLAB, howevr, MATLAB grader does no support it at this time

$\%$ Assign the required values directly here and try other input values using input function under your MATLAB installation yourself

$1=10$;$\%$ meters

$v=80**{10}^{{?}^{{?}^{?}}}6$;$\%$ meters per second

$\%$ initialize the speed of light

$c=299792458$; $\%$ meters per second

$\%2.$ do the magic $-$ calculate the shorten amount $-$ delta by prviding a correct fomula

$d=1**\sqrt[\phantom{2}]{1-(v^{{?}^{{?}^{?}}}\frac{2}{c^{{?}^{{?}^{?}}}}2)}$;

$\%3.$ display result

fprintf$(\text{'}$The rod of length $L=$$$0\mathrm{.}2f$ moving at velocity $v=80\mathrm{.}2f$ is shontened by $d=80\mathrm{.}2f$;$,1,v,d$;