This is a C++ problem. Please give the full explanation and code in details. Thanks.

In special relativity, an object that has length L centimeters when at rest with respect to the observer has a relativistic length, LR centimeters, given by 2 0 c2 when traveling at velocity v away from the observer. Here c is the speed of light, approx- imately 3.0 x 1010 cm/sec. Write a program that will calculate and display the relativistic length LR of an object of rest length L traveling at velocity v. In your program: Use object type double for L, v, c, and LR . Initialize c to 3.0 x 1010 cm/sec. Have the user input values for L and v. Include the file cmath so you can use the sqrt() function. Test your program using L = 32.5 cm and v = 2.2 x 1010 cm/sec as one of your test cases. When you enter the value of v use e (scientific) notation (see page 61, Section 2.3 of the textbook). Also test your program with L 42.0 cm and v 3.2 x 1010 cm/sec (again enter v using scientific notation). What happens