Please see the attached spreadsheet.
Thank you so much. These are not jokes but are problems from a teacher wishing to have a little fun with his students.
(1) the angle by which a man will lean forward while slipping on an frictionless incline is calculated.
(2) the banking of a circular race track and the force on a car on the track are calculated.
(3) the horizontal distance and the maximum height of a projectile is calculated.