Assume an airplane is launched by a catapult from an aircraft carrier. Write a program that prompts the user for the airplane’s takeoff speed ( meters per second ) and  the distance ( in meters ) over which the catapult force is applied. Assume the initial speed of the airplane is zero. Assume the force applied by the catapult, and the resulting acceleration of the airplane, are constant over the entire launch distance. The program is required to calculate and display both the acceleration of the airplane while it’s being catapulted and the amount of time required for the airplane to reach takeoff speed. The relevant formulas are:

                              v = at
                              s = .5at2

where v = velocity ( meters per second ), a = acceleration ( meters per second squared ) , 
t = time ( seconds ), and s = distance ( meters ).

Hint: In case you’ve forgotten how to solve the simple system of two equations above, first try dividing the bottom equation by the top one, then solve the result for t. Next, plug t into the top equation to solve for a.

Be sure, in your prompt, that you specify the units ( meters per second and meters ) required for the input – lest we should forget the resultant disaster when an airliner ran out of fuel, due to a misunderstanding of units on the part of the refueling crew.

As a test, try a takeoff speed of 80 meters per second and assume the catapult acts over a distance of 100 meters. Your answer should be: time to reach takeoff speed = 2.5 seconds, and acceleration  =  32 meters per second squared. Of course, your program must allow the user to enter his own values for input, not just the test values given here.