Exercise $1$: Special Relativity

In special relativity, an object that has length L centimeters when at rest with respect to the observer has a relativistic length of LR centimeters when traveling at velocity v away from the observer.

LR$=$L$1-$v$2/$c$2$

Here, c is the speed of light, approximately $3\backslash$times $1010$ cm$/$sec$.$

Write a program in c$++$ that will calculate and display the relativistic length LR of an object of rest length L that is traveling at velocity v$.$ In your program:

Use type double for L$,$ v$,$ c$,$ and LR$.$

Initialize c to $3\backslash$times $1010$ cm$/$sec$.$

Have the user input values for L and v$.$

Include the file cmath so you can use the sqrt$()$ function.