Show your program and your program output using MATLAB.

The impact velocity of an object falling freely under the influence of gravity, and also experiencing air resistance (drag), is calculated as: impact = Veerm | 1.0-exp -2gh 2 where: 2mg and: Vterm terminal velocity (m/s) Vimpact impact velocity (m/s) m- mass of object (kg) g acceleration due to gravity (9.8 m/s) h height above the surface of the Earth from which the object is dropped (m) C coefficient of drag (typically equal to 0.50 for a sphere) (unitless) A cross sectional area of falling body rfor a sphere (m) p density of air at height h (kg/m) PROBLEM: Write a MATLAB program to calculate the impact velocities of a 15 kg steel sphere with a diameter of 8 centimeters that is dropped from heights of 100 to 2000 meters, in increments of 100 meters (i.e., 100 meters, 200 meters, 300 meters . . . 2000 meters). Assume a constant air density of 1.0 kg/m3 for all heights. FIRST, write the program using the "dot" notation and then produce a screen shot. NEXT modify the program to use a for end loop and then make a second screenshot