Esercitazione 3

1) Write a program which evaluate the factorial of a given number n. Use a for loop. (factorial.cpp)	
   bash$ ./factorial
   Give me an integer: 12
   12! = 479001600

2) Write a program which determines the number of digits of a given number using a while loop. (numersOfDigits.cpp) 
   (Tip: using the rules of divisions between integers, divide the number by 10, until the results is 0.  
    The number of divisions is the number of digits of the integer.) 

   bash$ ./numerofDigits
   Give me an integer: 12345
   12345 has 5 digits

3) Write a program that prints the position of a body moving with a uniformly accelerated motion every deltaT seconds for n times.   
   (motion.cpp)

   bash$ ./motion
   Print the position of a body moving with a uniformly accelerated 
   motion every deltaT seconds for n times

   Give me acceleration, velocity and x0 4 6 8
   How many times do you want to print the position ? 10
   Delta T ? 2

   x(t): 8  t= 0 seconds
   x(t): 28 t= 2 seconds
   ...........
   x(t): 928 t= 20 seconds


4) A ball, dropped from a given height, rebounds reaching at every rebound half of the height of the previous rebound.  
   Write a program that prints the ball  rebounds until the height of the rebound is less than a pre-set tolerance (rebound.cpp)

   bash$ ./rebound
   Initial height: 10
   Rebound # 1: height 5 meters
   Rebound # 2: height 2.5 meters
   ..............
   Rebound # 14: height 0.000610352 meters

5) Write a program that determines whether a given number is prime or not (PrimeNumber.cpp)

   bash$ ./primenum
   Give me an integer 8
   Number 8 is not prime

   bash$ ./primenum
   Give me an integer 7
   Number 7 is prime