Design the first ascent and drop of this roller coaster. The ascent must start out linear with a slope of .8 and the drop must become linear with a...

Design the first ascent and drop of this roller coaster. The ascent must start out linear with a slope of .8 and the drop must become linear with a slope of -1.6. We have 100 feet, measured horizontally, to make the transition from the linear ascent to the linear drop. Please include exact specifications on how the track should be built, a good picture of the track, and an argument convincing us that this track will, in fact, be smooth.