Length contraction of objects when moving near the speed of light

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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 second, will determine how much the rod will

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

$=L(1-\sqrt[\phantom{2}]{1-\frac{v^2}{c^2}})$

and $c=300{10}^6\frac{m}{s}$ 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, MATLAB grader does not support

it$)$ and you can display results using MATLAB's built in function fprintf.

MATLAB sqrt$((x)$ function will calculate the square root of $x.$ For example, sqrt$(4)$ will give you back $2.$ Using help under MATLAB to find how to use it$.$

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