I've been looking into the different types of curves such as the Tautochrone curve and the Brachistochrone curve but everything seems to go beyond what we are currently learning in our class.
Homework Statement
An object slides without friction down a ramp, from (xi, yi) to (xf, yf). What is the equation for the shape of the ramp connecting those two points which would enable the object to reach (xf, yf) in the shortest possible time? Also, describe the shape of the ramp.
Homework...