D. Exercise: Free Falling Parachutist (10 points) It's time for you to create a program from scratch. Newton formulated his second law of motion that related the net force, F (units of N - kg m/s2) to the mass m (units of kg) and acceleration a (units of m/s2) of a moving object as being Equation 1 This can be reformulated to show how acceleration can be obtained from the net force and the mass of the object Equation 2 In the case of a falling object such as parachutist, acceleration can be assumed to be constant near the surface of the earth, thus a-g - 9.8 m/s'. The parachutist is not subject only to the force of gravity but also the force of the air resistance to the parachute. This force can be approximated to the be Equation .3 where v is the velocity of the parachutist in m/s and c is the drag coefficient in kg's This drag coefficient accounts for the effect of the parachute; this effect can vary according to the weight of the parachutist, size and shape of the parachute, etc Recalling that the acceleration is simply the derivative of the velocity, it is possible to obtain an equation for the change in velocity of a falling parachutist as follows, noting that the net force is the force of the resistance, cv, subtracted from the force of gravity, mg, that is, the net force F-g - cv. Equation 4 represents the acceleration and velocity of the parachutist Equation4 C1 dt 71 Using calculus the following analytical solution can be obtained for v(t). Equation:5 The above equation can be used to calculate the velocity over time given the mass and drag coefficient of the parachutist. At t-0, the velocity of the parachutist is zero Develop a program that gets from the user the weight, drag coefficient and a time. The program calculates the velocity of the parachutist at the time given by the user. The program will output all input values and the calculated velocity