CSCE 1030: Project 1 Due: 11:59 pu on Monday, February 5, 2018 PROGRAM DESCRIPTION Mechanical Energy (ME) is the sum total of potential and kinetic energy, where potential energy (PE) is due to its position while kinetic energy (KE) is due to the movement of the object. If the object is moving, potential energy should be zero, while the kinetic energy should be zero if the object is at rest. The formula for mechanical energy is given by ME = KE + PE =7"w" + mgh is the acceleration where m is the mass of the object, v is the velocity of the object, g constant due to gravity which is approximately 9.8 m/s near the Earth's surface, and h is the height of the object For roller coaster enthusiasts, we want to be able to determine the vertical drop that riders experience based on the initial and final velocities at the top and bottom of the hill, respectively. To do this, we ignore friction and such that the initial mechanical energy is equal to the final mechanical energy use the law of conservation of energy in this equation, the mass m cancels out, so we are then left with four unknowns Vinitial. Vfinat, henitial, and hrinal But, if we are just concerned with the relatve vertical drop between the top and bottom of the hill, we can assume that hrimat is 0, thus reducing our equation to three unknowns. Hence, we obtain the initial and final velocities of the roller coaster at the top and bottom of the hill, respectively, and solve 0 CTR