HOMEWORK 6 MATLAB PROGRAMMING EXERCISE Exercise 7 (4 pts) Remember: You must write MATLAB code and then execute your code to produce output that solves this problem. You must show both your program and your program output in a screenshot(s) to receive full credit for this exercise You must also include a handwritten MATLAB program! INTRODUCTION The impact velocity of an object falling freely under the influence of gravity, and also experiencing air resistance (drag), is calculated as: 11.0-exp() where: 2mg Vcerm and: Verm 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 r for 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. Page 5